SherbyNet - /page/wikibook/entry.mu

Micron Document

<!DOCTYPE html>

</head>

nLab

</h1>

</header>

The nLab is a <a href="Wiki" title="Wiki">wiki</a> for research-level notes, expositions and collaborative work, including original research, in <a href="Mathematics" title="Mathematics">mathematics</a>, <a href="Physics" title="Physics">physics</a>, and <a href="Philosophy" title="Philosophy">philosophy</a>, with a focus on methods from <a href="Type_theory" title="Type theory">type theory</a>, <a href="Category_theory" title="Category theory">category theory</a>, and <a href="Homotopy_theory" title="Homotopy theory">homotopy theory</a>. The nLab espouses the "n-point of view"<a href="#cite_note-1">[1]</a> (a deliberate pun on <a href="Wikipedia" title="Wikipedia">Wikipedia</a>'s "neutral point of view") that type theory, homotopy theory, category theory, and <a href="Higher_category_theory" title="Higher category theory">higher category theory</a> provide a useful unifying viewpoint for mathematics, physics and philosophy. The n in n-point of view could refer to either <a href="N-category" class="mw-redirect" title="N-category">n-categories</a> as found in higher category theory, n-groupoids as found in both <a href="Homotopy_theory" title="Homotopy theory">homotopy theory</a> and higher category theory, or n-types as found in <a href="Homotopy_type_theory" title="Homotopy type theory">homotopy type theory</a>.

<div class="mw-heading mw-heading2"><h2 id="Overview">Overview</h2></div>

The nLab was originally conceived to provide a repository for ideas (and even new research) generated in the comments on posts at the <a href="N-Category_Caf%C3%A9" class="mw-redirect" title="N-Category Café">n-Category Café</a>, a group blog run (at the time) by <a href="John_C._Baez" title="John C. Baez">John C. Baez</a>, <a href="David_Corfield" title="David Corfield">David Corfield</a> and <a href="Urs_Schreiber" title="Urs Schreiber">Urs Schreiber</a>. Eventually the nLab developed into an independent project, which has since grown to include whole research projects and encyclopedic material.<a href="#cite_note-What_is_the_nLab-2">[2]</a>

Associated to the nLab is the nForum, an online discussion forum for announcement and discussion of nLab edits (the analog of Wikipedia's "talk" pages) as well as for general discussion of the topics covered in the nLab. The preferred way of contacting the nLab steering committee is to post on the nForum.<a href="#cite_note-nLab_contact_steering_committee-3">[3]</a> An experimental sub-project of the nLab is the Publications of the nLab, intended as a <a href="Academic_journal" title="Academic journal">journal</a> for refereed research articles that are published online and cross-hyperlinked with the main wiki: this sub-project appears to be inactive as of 2014.<a href="#cite_note-4">[4]</a>

The nLab was set up on November 28, 2008 by <a href="Urs_Schreiber" title="Urs Schreiber">Urs Schreiber</a> using the <a href="Instiki" title="Instiki">Instiki</a> software provided and maintained by <a href="Jacques_Distler" title="Jacques Distler">Jacques Distler</a>. Since May 2015 it runs on a server at <a href="Carnegie_Mellon_University" title="Carnegie Mellon University">Carnegie Mellon University</a> that is funded in the context of <a href="Steve_Awodey" title="Steve Awodey">Steve Awodey</a>'s Homotopy Type Theory MURI grant.<a href="#cite_note-5">[5]</a> The system administrator is Richard Williamson. The domain ncatlab.org is owned by <a href="Urs_Schreiber" title="Urs Schreiber">Urs Schreiber</a>.

The nLab is listed on <a href="MathOverflow" title="MathOverflow">MathOverflow</a> as a standard online mathematics reference to check before asking questions.<a href="#cite_note-MO_howtoask-6">[6]</a> Many questions and answers link to the nLab for background material.<a href="#cite_note-MO_nlab_mentions-7">[7]</a> It is one of two wikis mentioned by the mathematical physicist John C. Baez in his review of math blogs for the <a href="American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>.<a href="#cite_note-8">[8]</a>

There is an informal steering committee, which "doesn't run the nLab",<a href="#cite_note-9">[9]</a> but exists in order to resolve issues that would cause the whole project to run into trouble.

The content of the wiki is not placed under a specific <a href="Copyright_license" class="mw-redirect" title="Copyright license">copyright license</a>.<a href="#cite_note-10">[10]</a>

<ul><li><a href="MathOverflow" title="MathOverflow">MathOverflow</a></li></ul>

<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>

<li id="cite_note-1"><a href="#cite_ref-1">^</a> <a rel="nofollow" class="external text" href="https://ncatlab.org/nlab/show/nPOV">nPOV</a> in nLab

</li>

<li id="cite_note-What_is_the_nLab-2"><a href="#cite_ref-What_is_the_nLab_2-0">^</a> <a href="Urs_Schreiber" title="Urs Schreiber">Urs Schreiber</a>, <a rel="nofollow" class="external text" href="https://ncatlab.org/schreiber/show/What+is...+the+nLab">What is... the nLab?</a>

</li>

<li id="cite_note-nLab_contact_steering_committee-3"><a href="#cite_ref-nLab_contact_steering_committee_3-0">^</a> <a rel="nofollow" class="external text" href="https://ncatlab.org/nlabmeta/show/steering+committee">Steering committee</a> in nLab meta

</li>

/* start https://en.wikipedia.org/ */

.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("./mw/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("./mw/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("./mw/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("./mw/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}

/* end https://en.wikipedia.org/ */

</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://ncatlab.org/publications/published/">"Publications"</a>. ncatlab.org. Retrieved 2023-10-27.</cite>

</li>

<li id="cite_note-5"><a href="#cite_ref-5">^</a> <cite id="CITEREFAwodey2014" class="citation web cs1">Awodey, Steve (29 April 2014). <a rel="nofollow" class="external text" href="https://homotopytypetheory.org/2014/04/29/hott-awarded-a-muri/">"HoTT awarded a MURI"</a>. Homotopy Type Theory. Retrieved 8 August 2020.</cite>

</li>

<li id="cite_note-MO_howtoask-6"><a href="#cite_ref-MO_howtoask_6-0">^</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130606040144/http://mathoverflow.net/howtoask#homework">MathOverflow</a>, 1.0 'How to ask' page. Archived on 2013-06-04.

</li>

<li id="cite_note-MO_nlab_mentions-7"><a href="#cite_ref-MO_nlab_mentions_7-0">^</a> <a rel="nofollow" class="external text" href="https://mathoverflow.net/search?q=nlab">MathOverflow</a>, Results for a search for 'nlab'. As of 2018-12-11 there are over 800 results.

</li>

<li id="cite_note-8"><a href="#cite_ref-8">^</a> <a href="John_C._Baez" title="John C. Baez">John C. Baez</a>, "<a rel="nofollow" class="external text" href="https://www.ams.org/notices/201003/rtx100300333p.pdf">Math Blogs</a>", <a href="Notices_of_the_American_Mathematical_Society" title="Notices of the American Mathematical Society">Notices of the American Mathematical Society</a>, March 2010

</li>

<li id="cite_note-9"><a href="#cite_ref-9">^</a> <a rel="nofollow" class="external text" href="https://ncatlab.org/nlabmeta/show/steering+committee">Steering committee</a> in nLab meta

</li>

<li id="cite_note-10"><a href="#cite_ref-10">^</a> <cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://ncatlab.org/nlab/show/HomePage#TermsOfUse">"nLab"</a>. ncatlab.org. Retrieved 2023-10-28.</cite>

</li>

</ol></div>

<div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2></div>

<li><a rel="nofollow" class="external text" href="https://nforum.ncatlab.org/">nForum</a></li>

<li><a rel="nofollow" class="external text" href="https://ncatlab.org/publications/published/HomePage">Publications of the nLab</a></li></ul></div><div><div class="zim-footer">

This article is issued from <a class="external text" title="Last edited on 2024-09-07" href="https://en.wikipedia.org/wiki/?title=NLab&oldid=1244433607">Wikipedia</a>. The text is available under <a class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">Creative Commons Attribution-Share Alike 4.0</a> unless otherwise noted. Additional terms may apply for the media files.

</div>

</div></div>

</div>

</main>

</div>

</body></html>