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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Allen Hatcher</span></h1>
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<div class="infobox_v3 infobox infobox--frwiki noarchive large"><div class="entete defaut" style="background-color:#EEEEFF;color:#000000"><div>Allen Hatcher</div></div><div><div class="images" style="padding:2px 0"></div></div><table><caption style="color:#000000;text-align:center;background-color:#EEEEFF">Biographie</caption><tbody><tr class=""><th scope="row">Naissance</th><td class=""><div>
<time class="nowrap date-lien bday" datetime="1944-10-23" data-sort-value="1944-10-23"><a href="23_octobre" title="23 octobre">23</a> <a href="Octobre_1944" title="Octobre 1944">octobre</a> <a href="1944" title="1944">1944</a></time> <br><span class="wd_p19"><a href="Indianapolis" title="Indianapolis">Indianapolis</a></span></div></td></tr><tr class=""><th scope="row">Nationalité</th><td class=""><div>
<span class="wd_p27"><a href="%C3%89tats-Unis" title="États-Unis">américaine</a></span></div></td></tr><tr class=""><th scope="row">Formation</th><td class=""><div>
<span class="wd_p69"><a href="Universit%C3%A9_Stanford" title="Université Stanford">Université Stanford</a></span></div></td></tr><tr class=""><th scope="row">Activités</th><td class=""><div>
<span class="wd_p106"><a href="Math%C3%A9maticien" title="Mathématicien">Mathématicien</a>, <a href="Topologie" title="Topologie">topologue</a></span></div></td></tr></tbody></table><table><caption style="color:#000000;text-align:center;background-color:#EEEEFF">Autres informations</caption><tbody><tr class=""><th scope="row">A travaillé pour</th><td class=""><div>
<span class="wd_p108"><a href="Universit%C3%A9_Cornell" title="Université Cornell">Université Cornell</a><br><a href="Universit%C3%A9_de_Californie_%C3%A0_Los_Angeles" title="Université de Californie à Los Angeles">Université de Californie à Los Angeles</a></span></div></td></tr><tr class=""><th scope="row">Directeur de thèse</th><td class=""><div>
<span class="wd_p184">Hans Samelson <small>(<a href="https://en.wikipedia.org/wiki/Hans_Samelson" class="extiw external" title="en:Hans Samelson"><span class="indicateur-langue" title="Article sur Wikipédia en anglais">en</span></a>)</small></span></div></td></tr></tbody></table></div>
<p><b>Allen Edward Hatcher</b> (né en 1944) est un <a href="Topologue" class="mw-redirect" title="Topologue">topologue</a> <a href="%C3%89tats-Unis" title="États-Unis">américain</a>, auteur d'ouvrages de référence en <a href="Topologie_alg%C3%A9brique" title="Topologie algébrique">topologie algébrique</a>.
</p>

<div class="mw-heading mw-heading2"><h2 id="Biographie">Biographie</h2></div>
<p>Hatcher est né en <a href="1944" title="1944">1944</a> à <a href="Indianapolis" title="Indianapolis">Indianapolis</a>. Il passe son <a href="Philosophi%C3%A6_doctor" class="mw-redirect" title="Philosophiæ doctor">doctorat</a> en 1971 à l'<a href="Universit%C3%A9_Stanford" title="Université Stanford">université Stanford</a>, sous la direction de Hans Samelson&nbsp;<a href="https://en.wikipedia.org/wiki/Hans_Samelson" class="extiw external" title="en:Hans Samelson"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;Hans Samelson&nbsp;»">(en)</span></a><sup id="cite_ref-MathGenealogy_1-0" class="reference"><a href="#cite_note-MathGenealogy-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>. Il devient professeur à l'<a href="Universit%C3%A9_de_Californie_%C3%A0_Los_Angeles" title="Université de Californie à Los Angeles">UCLA</a> puis, à partir de 1983, à l'<a href="Universit%C3%A9_Cornell" title="Université Cornell">université Cornell</a>.
</p>
<div class="mw-heading mw-heading2"><h2 id="Contributions_mathématiques"><span id="Contributions_math.C3.A9matiques"></span>Contributions mathématiques</h2></div>
<p>Entre autres contributions, il démontre la conjecture de Smale&nbsp;<a href="https://en.wikipedia.org/wiki/Smale_conjecture" class="extiw external" title="en:Smale conjecture"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;Smale conjecture&nbsp;»">(en)</span></a> (<a href="#Hatcher_1983">Hatcher 1983</a>) et des résultats importants sur les pseudoisotopies&nbsp;<a href="https://en.wikipedia.org/wiki/Pseudoisotopy_theorem" class="extiw external" title="en:Pseudoisotopy theorem"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;Pseudoisotopy theorem&nbsp;»">(en)</span></a>, la <a href="K-th%C3%A9orie" title="K-théorie">K-théorie</a>, les <a href="Surface_(g%C3%A9om%C3%A9trie)" class="mw-redirect" title="Surface (géométrie)">surfaces</a> et les <a href="3-vari%C3%A9t%C3%A9" title="3-variété">3-variétés</a>.
</p>
<div class="mw-heading mw-heading3"><h3 id="3-variétés"><span id="3-vari.C3.A9t.C3.A9s"></span>3-variétés</h3></div>
<p>Parmi ses résultats sur les 3-variétés, le plus reconnu est peut-être celui sur la classification des surfaces incompressibles&nbsp;<a href="https://en.wikipedia.org/wiki/Incompressible_surface" class="extiw external" title="en:Incompressible surface"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;Incompressible surface&nbsp;»">(en)</span></a> dans certaines 3-variétés et leurs pentes frontières. Il a classifié, avec Floyd&nbsp;<a href="https://en.wikipedia.org/wiki/William_Floyd_(mathematician)" class="extiw external" title="en:William Floyd (mathematician)"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;William Floyd (mathematician)&nbsp;»">(en)</span></a>, toutes les surfaces incompressibles de <a href="Fibr%C3%A9" title="Fibré">fibrés</a> en <a href="Tore" title="Tore">tores</a> épointés sur le <a href="Cercle" title="Cercle">cercle</a> (<a href="#Floyd_Hatcher_1982">Floyd Hatcher 1982</a>) et, avec <a href="William_Thurston" title="William Thurston">Thurston</a>, celles des <a href="Compl%C3%A9ment_d'un_n%C5%93ud" title="Complément d'un nœud">compléments</a> de <a href="N%C5%93ud_(math%C3%A9matiques)" title="Nœud (mathématiques)">nœuds</a> rationnels&nbsp;<a href="https://en.wikipedia.org/wiki/2-bridge_knot" class="extiw external" title="en:2-bridge knot"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;2-bridge knot&nbsp;»">(en)</span></a> (<a href="#Hatcher_Thurston_1985">Hatcher Thurston 1985</a>). En corollaires, cela a fourni de nouveaux exemples de 3-variétés <span class="page_h"><a href="Irr%C3%A9ductible" class="mw-redirect" title="Irréductible">irréductible</a></span>s non-Haken&nbsp;<a href="https://en.wikipedia.org/wiki/Haken_manifold" class="extiw external" title="en:Haken manifold"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;Haken manifold&nbsp;»">(en)</span></a> et non-<a href="Fibr%C3%A9_de_Seifert" title="Fibré de Seifert">Seifert</a> et a étendu les techniques et le programme de recherches que Thurston avait commencé à exposer dans les notes rédigées de son cours&nbsp;<a href="https://en.wikipedia.org/wiki/The_geometry_and_topology_of_three-manifolds" class="extiw external" title="en:The geometry and topology of three-manifolds"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;The geometry and topology of three-manifolds&nbsp;»">(en)</span></a> à <a href="Universit%C3%A9_de_Princeton" title="Université de Princeton">Princeton</a>. Hatcher a aussi montré que pour une 3-variété irréductible dont le bord est relativement irréductible et est une réunion de tores, au plus la moitié des pentes frontières possibles sont représentées comme provenant de surfaces essentielles de la variété. Dans le cas où le bord est constitué d'un seul tore, on en déduit que ces pentes sont en nombre fini.
</p><p>Hatcher fait progresser la théorie des «&nbsp;laminations&nbsp;<a href="https://en.wikipedia.org/wiki/Lamination_(topology)" class="extiw external" title="en:Lamination (topology)"><span class="indicateur-langue" title="Article en anglais&nbsp;: «&nbsp;Lamination (topology)&nbsp;»">(en)</span></a> essentielles&nbsp;» dans les 3-variétés. Il définit la notion d'«&nbsp;incompressibilité dans les <a href="Bout_d'un_espace_topologique" class="mw-redirect" title="Bout d'un espace topologique">bouts</a>&nbsp;», sur laquelle plusieurs de ses étudiants<sup id="cite_ref-MathGenealogy_1-1" class="reference"><a href="#cite_note-MathGenealogy-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>, parmi lesquels Mark Brittenham, Charles Delman et Rachel Roberts, ont obtenu des résultats importants.
</p>
<div class="mw-heading mw-heading3"><h3 id="Surfaces">Surfaces</h3></div>
<p>Hatcher et Thurston produisent un algorithme qui donne une <a href="Pr%C3%A9sentation_d'un_groupe" title="Présentation d'un groupe">présentation</a> du <i><a href="Mapping_class_group" class="mw-redirect" title="Mapping class group">mapping class group</a></i> d'une surface fermée orientable (<a href="#Hatcher_Thurston_1980">Hatcher Thurston 1980</a>). Leur travail s'appuie sur la notion de systèmes de découpage et des mouvements qui les relient.
</p>
<div class="mw-heading mw-heading2"><h2 id="Sélection_de_publications"><span id="S.C3.A9lection_de_publications"></span>Sélection de publications</h2></div>
<div class="mw-heading mw-heading3"><h3 id="Articles">Articles</h3></div>
<ul><li><span class="ouvrage" id="Hatcher_Thurston_1980"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <span class="nom_auteur">avec W. Thurston</span>, «&nbsp;<cite style="font-style:normal" lang="en">A presentation for the mapping class group of a closed orientable surface</cite>&nbsp;», <i><a href="Topology_(p%C3%A9riodique)" title="Topology (périodique)"><span class="lang-en" lang="en">Topology</span></a></i>, <abbr class="abbr" title="volume">vol.</abbr>&nbsp;19, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&nbsp;3,‎ <time>1980</time>, <abbr class="abbr" title="pages">p.</abbr>&nbsp;<span class="nowrap">221-237</span> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://pi.math.cornell.edu/~hatcher/Papers/MCGpresentation.pdf">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=A+presentation+for+the+mapping+class+group+of+a+closed+orientable+surface&amp;rft.jtitle=Topology&amp;rft.issue=3&amp;rft.aulast=avec+W.+Thurston&amp;rft.date=1980&amp;rft.volume=19&amp;rft.pages=221-237&amp;rft_id=https%3A%2F%2Fpi.math.cornell.edu%2F~hatcher%2FPapers%2FMCGpresentation.pdf&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li>
<li><span class="ouvrage" id="1982"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> «&nbsp;<cite style="font-style:normal" lang="en">On the boundary curves of incompressible surfaces</cite>&nbsp;», <i><span class="lang-en" lang="en"><a href="Pacific_Journal_of_Mathematics" title="Pacific Journal of Mathematics">Pacific J. Math.</a></span></i>, <abbr class="abbr" title="volume">vol.</abbr>&nbsp;99, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&nbsp;2,‎ <time>1982</time>, <abbr class="abbr" title="pages">p.</abbr>&nbsp;<span class="nowrap">373-377</span> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="http://projecteuclid.org/DPubS?service=UI&amp;version=1.0&amp;verb=Display&amp;handle=euclid.pjm/1102734021">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=On+the+boundary+curves+of+incompressible+surfaces&amp;rft.jtitle=Pacific+J.+Math.&amp;rft.issue=2&amp;rft.date=1982&amp;rft.volume=99&amp;rft.pages=373-377&amp;rft_id=http%3A%2F%2Fprojecteuclid.org%2FDPubS%3Fservice%3DUI%26version%3D1.0%26verb%3DDisplay%26handle%3Deuclid.pjm%2F1102734021&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li>
<li><span class="ouvrage" id="Floyd_Hatcher_1982"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <span class="nom_auteur">avec W. Floyd</span>, «&nbsp;<cite style="font-style:normal" lang="en">Incompressible surfaces in punctured-torus bundles</cite>&nbsp;», <i><span class="lang-en" lang="en"><a href="Topology_and_its_Applications" title="Topology and its Applications">Topol. Appl.</a></span></i>, <abbr class="abbr" title="volume">vol.</abbr>&nbsp;13, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&nbsp;3,‎ <time>1982</time>, <abbr class="abbr" title="pages">p.</abbr>&nbsp;<span class="nowrap">263-282</span><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Incompressible+surfaces+in+punctured-torus+bundles&amp;rft.jtitle=Topol.+Appl.&amp;rft.issue=3&amp;rft.aulast=avec+W.+Floyd&amp;rft.date=1982&amp;rft.volume=13&amp;rft.pages=263-282&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li>
<li><span class="ouvrage" id="Hatcher_Thurston_1985"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <span class="nom_auteur">avec W. Thurston</span>, «&nbsp;<cite style="font-style:normal" lang="en">Incompressible surfaces in 2-bridge knot complements</cite>&nbsp;», <i><a href="Liste_des_journaux_scientifiques_en_math%C3%A9matiques#I" title="Liste des journaux scientifiques en mathématiques"><span class="lang-en" lang="en">Invent. Math.</span></a></i>, <abbr class="abbr" title="volume">vol.</abbr>&nbsp;79, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&nbsp;2,‎ <time>1985</time>, <abbr class="abbr" title="pages">p.</abbr>&nbsp;<span class="nowrap">225-246</span> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN356556735_0079&amp;DMDID=DMDLOG_0018">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Incompressible+surfaces+in+2-bridge+knot+complements&amp;rft.jtitle=Invent.+Math.&amp;rft.issue=2&amp;rft.aulast=avec+W.+Thurston&amp;rft.date=1985&amp;rft.volume=79&amp;rft.pages=225-246&amp;rft_id=http%3A%2F%2Fgdz.sub.uni-goettingen.de%2Fdms%2Fload%2Fimg%2F%3FPPN%3DPPN356556735_0079%26DMDID%3DDMDLOG_0018&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li>
<li><span class="ouvrage" id="Hatcher_1983"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> «&nbsp;<cite style="font-style:normal" lang="en">A proof of the Smale conjecture, <a href="Diff%C3%A9omorphisme" title="Difféomorphisme">Diff</a>(<a href="3-sph%C3%A8re" title="3-sphère">S<sup>3</sup></a>) ≃ <a href="Groupe_orthogonal" title="Groupe orthogonal">O(4)</a></cite>&nbsp;», <i><a href="Annals_of_Mathematics" title="Annals of Mathematics"><span class="lang-en" lang="en">Ann. of Math.</span></a></i>, <abbr class="abbr" title="volume">vol.</abbr>&nbsp;117, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&nbsp;3,‎ <time>1983</time>, <abbr class="abbr" title="pages">p.</abbr>&nbsp;<span class="nowrap">553-607</span><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=A+proof+of+the+Smale+conjecture%2C+Diff%28S3%29+%E2%89%83+O%284%29&amp;rft.jtitle=Ann.+of+Math.&amp;rft.issue=3&amp;rft.date=1983&amp;rft.volume=117&amp;rft.pages=553-607&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li></ul>
<div class="mw-heading mw-heading3"><h3 id="Livres_publiés"><span id="Livres_publi.C3.A9s"></span>Livres publiés</h3></div>
<ul><li><span class="ouvrage" id="2001"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <cite class="italique" lang="en">Algebraic Topology</cite>, New York, <a href="Cambridge_University_Press" title="Cambridge University Press">CUP</a>, <time>2001</time>, xii+544 <small style="line-height:1em;">(<a href="International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&nbsp;<span class="nowrap">978-0-521-79540-1</span>, <a rel="nofollow" class="external text" href="https://pi.math.cornell.edu/~hatcher/AT/ATpage.html">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Algebraic+Topology&amp;rft.place=New+York&amp;rft.pub=CUP&amp;rft.date=2001&amp;rft.tpages=xii%2B544&amp;rft.isbn=978-0-521-79540-1&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li></ul>
<div class="mw-heading mw-heading3"><h3 id="Livres_en_préparation"><span id="Livres_en_pr.C3.A9paration"></span>Livres en préparation</h3></div>
<ul><li><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <cite class="italique" lang="en">Vector Bundles and K-Theory</cite> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://pi.math.cornell.edu/~hatcher/VBKT/VBpage.html">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Vector+Bundles+and+K-Theory&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li>
<li><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <cite class="italique" lang="en">Spectral Sequences in Algebraic Topology</cite> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://pi.math.cornell.edu/~hatcher/SSAT/SSATpage.html">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Spectral+Sequences+in+Algebraic+Topology&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li>
<li><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <cite class="italique" lang="en">Basic Topology of 3-Manifolds</cite> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://pi.math.cornell.edu/~hatcher/TN/TNpage.html">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Basic+Topology+of+3-Manifolds&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AAllen+Hatcher"></span></span></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2></div>
<div style="font-size:85%; padding-left:1.6em; margin:0.3em 0;"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Cet article est partiellement ou en totalité issu de l’article de Wikipédia en anglais intitulé <span class="">«&nbsp;<a class="external text" href="https://en.wikipedia.org/wiki/Allen_Hatcher?oldid=504646814">Allen Hatcher</a>&nbsp;» <small>(<a class="external text" href="https://en.wikipedia.org/wiki/Allen_Hatcher?action=history">voir la liste des auteurs</a>)</small></span>.</div>
<div class="references-small decimal" style=""><div class="mw-references-wrap"><ol class="references">
<li id="cite_note-MathGenealogy-1"><span class="reference-text"><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> «&nbsp;<a rel="nofollow" class="external text" href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=23358"><cite style="font-style:normal;" lang="en">Allen Edward Hatcher</cite></a>&nbsp;», sur <span class="italique"><i>le site du</i> <span class="lang-en" lang="en"><a href="Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></span></span></span></span>
</li>
</ol></div>
</div>
<div class="mw-heading mw-heading2"><h2 id="Liens_externes">Liens externes</h2></div>
<ul><li><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> «&nbsp;<a rel="nofollow" class="external text" href="https://pi.math.cornell.edu/~hatcher/"><cite style="font-style:normal;" lang="en">Page personnelle</cite></a>&nbsp;», sur <span class="italique">Université Cornell</span></span></li>
<li><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> «&nbsp;<a rel="nofollow" class="external text" href="https://www.ias.edu/scholars/allen-e-hatcher"><cite style="font-style:normal;" lang="en">Fiche de A. Hatcher</cite></a>&nbsp;», sur <span class="italique"><a href="Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a></span></span></li></ul>
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</p>
<ul><li class="mw-empty-elt"></li>
<li><span class="liste-horizontale noarchive"><span class="wd_identifiers">Ressource relative à la recherche</span>&nbsp;: <ul><li><a rel="nofollow" class="external text" href="https://genealogy.math.ndsu.nodak.edu/id.php?id=23358"><span class="lang-en" lang="en">Mathematics Genealogy Project</span></a></li> </ul></span> </li>
<li class="mw-empty-elt"></li>
<li><div class="liste-horizontale"><span class="wd_identifiers"><a href="Autorit%C3%A9_(sciences_de_l'information)" title="Autorité (sciences de l'information)">Notices d'autorité</a></span>&nbsp;: <ul><li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="http://viaf.org/viaf/232626642">VIAF</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="https://isni.org/isni/0000000367524178">ISNI</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb15095522m">BnF</a></span> (<span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb15095522m">données</a></span>)</li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="http://www.idref.fr/067644058">IdRef</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="http://id.loc.gov/authorities/n00009457">LCCN</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/141217944">GND</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="https://opac.sbn.it/nome/PUVV122851">Italie</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p125095740">Pays-Bas</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="https://www.nli.org.il/en/authorities/987007421765505171">Israël</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="http://nukat.edu.pl/aut/n%20%2002082350">NUKAT</a></span></li> <li><span class="nowrap uid noarchive"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&amp;local_base=aut&amp;ccl_term=ica=mub2011654985">Tchéquie</a></span></li> </ul></div></li></ul>
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