<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-02532688</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-14T05:00:02+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">A Quillen Theorem B for strict ∞‐categories</title>
            <author role="aut">
              <persName>
                <forename type="first">Dimitri</forename>
                <surname>Ara</surname>
              </persName>
              <email type="md5">969f8d93ce808e3a2aff32200cd92869</email>
              <email type="domain">math.jussieu.fr</email>
              <idno type="idhal" notation="string">dimitri-ara</idno>
              <idno type="idhal" notation="numeric">751495</idno>
              <idno type="halauthorid" notation="string">11456-751495</idno>
              <affiliation ref="#struct-241321"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Dimitri</forename>
                <surname>Ara</surname>
              </persName>
              <email type="md5">d9941b6e487a61ea7f87c7bc415a0d35</email>
              <email type="domain">univ-amu.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2020-04-05 21:13:12</date>
              <date type="whenModified">2024-05-02 14:35:50</date>
              <date type="whenReleased">2020-04-05 21:13:12</date>
              <date type="whenProduced">2019-04</date>
              <ref type="externalLink" target="http://arxiv.org/pdf/1808.02650"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="157805">
                <persName>
                  <forename>Dimitri</forename>
                  <surname>Ara</surname>
                </persName>
                <email type="md5">d9941b6e487a61ea7f87c7bc415a0d35</email>
                <email type="domain">univ-amu.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02532688</idno>
            <idno type="halUri">https://hal.science/hal-02532688</idno>
            <idno type="halBibtex">ara:hal-02532688</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of the London Mathematical Society&lt;/i&gt;, 2019, 100 (2), pp.470-497. &lt;a target="_blank" href="https://dx.doi.org/10.1112/jlms.12220"&gt;&amp;#x27E8;10.1112/jlms.12220&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of the London Mathematical Society, 2019, 100 (2), pp.470-497. &amp;#x27E8;10.1112/jlms.12220&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-AMU">Aix Marseille Université</idno>
            <idno type="stamp" n="EC-MARSEILLE">Ecole Centrale de Marseille</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="I2M">Institut de Mathématiques de Marseille</idno>
            <idno type="stamp" n="I2M-2014-" corresp="I2M">Institut de Mathématiques de Marseille 2014-</idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">33 pages, v2: title changed, minor modifications, references updated, journal version</note>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">A Quillen Theorem B for strict ∞‐categories</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Dimitri</forename>
                    <surname>Ara</surname>
                  </persName>
                  <email type="md5">969f8d93ce808e3a2aff32200cd92869</email>
                  <email type="domain">math.jussieu.fr</email>
                  <idno type="idhal" notation="string">dimitri-ara</idno>
                  <idno type="idhal" notation="numeric">751495</idno>
                  <idno type="halauthorid" notation="string">11456-751495</idno>
                  <affiliation ref="#struct-241321"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">16371</idno>
                <idno type="issn">0024-6107</idno>
                <idno type="eissn">1469-7750</idno>
                <title level="j">Journal of the London Mathematical Society</title>
                <imprint>
                  <publisher>London Mathematical Society ; Wiley</publisher>
                  <biblScope unit="volume">100</biblScope>
                  <biblScope unit="issue">2</biblScope>
                  <biblScope unit="pp">470-497</biblScope>
                  <date type="datePub">2019-04</date>
                </imprint>
              </monogr>
              <idno type="arxiv">1808.02650</idno>
              <idno type="doi">10.1112/jlms.12220</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-at">Mathematics [math]/Algebraic Topology [math.AT]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We prove a generalization of Quillen's Theorem B to strict $\infty$-categories. More generally, we show that under similar hypothesis as for Theorem B, the comma construction for strict $\infty$-categories, that we introduced with Maltsiniotis in a previous paper, is the homotopy pullback with respect to Thomason equivalences. We give several applications of these results, including the construction of new models for certain Eilenberg-Mac Lane spaces.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-241321" status="VALID">
          <idno type="RNSR">201420768T</idno>
          <idno type="ROR">042h2y225</idno>
          <orgName>Institut de Mathématiques de Marseille</orgName>
          <orgName type="acronym">I2M</orgName>
          <date type="start">2014</date>
          <desc>
            <address>
              <addrLine>Centre de Mathématiques et Informatique (CMI)Technopôle Château-Gombert39, rue Frédéric Joliot Curie13453 Marseille Cedex 13</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.i2m.univ-amu.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UMR7373" active="#struct-198056" type="direct"/>
            <relation name="UMR7373" active="#struct-300415" type="direct"/>
            <relation name="UMR7373" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-198056" status="VALID">
          <idno type="IdRef">15863621X</idno>
          <idno type="ISNI">0000 0001 2176 4817</idno>
          <idno type="ROR">https://ror.org/035xkbk20</idno>
          <orgName>Aix Marseille Université</orgName>
          <orgName type="acronym">AMU</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>Aix-Marseille UniversitéJardins du Pharo58 Boulevard Charles Livon13284 Marseille cedex 7</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-amu.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300415" status="VALID">
          <idno type="ISNI">0000 0004 1762 2703</idno>
          <idno type="ROR">https://ror.org/040baw385</idno>
          <orgName>École Centrale de Marseille</orgName>
          <orgName type="acronym">ECM</orgName>
          <date type="start">2006-09-27</date>
          <desc>
            <address>
              <addrLine>Pôle de l'étoile - Technopole de Château-Gombert - 38 rue Frédéric Joliot-Curie - 13013 Marseille</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.centrale-marseille.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>