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Strict \(\infty\)-groupoids are Grothendieck \(\infty\)-groupoids

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Publication:392224
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DOI10.1016/j.jpaa.2013.03.008zbMath1285.18002arXiv1212.3085OpenAlexW2517412778MaRDI QIDQ392224

Dimitri Ara

Publication date: 13 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3085

zbMATH Keywords

Grothendieck \(\infty\)-groupoid


Mathematics Subject Classification ID

Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)


Related Items

On the homotopy theory of Grothendieck \(\infty \)-groupoids



Cites Work

  • The Brown-Golasiński model structure on strict \(\infty \)-groupoids revisited
  • A cellular nerve for higher categories
  • A folk model structure on omega-cat
  • Polygraphic resolutions and homology of monoids
  • Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories
  • The groupoidal analogue \(\widetilde{{\Theta}}\) to Joyal's category \(\Theta\) is a test category
  • On the homotopy theory of Grothendieck \(\infty \)-groupoids
  • On homotopy types modelized by strict \infty-groupoids
  • The classifying space of a crossed complex
  • Coherence for tricategories
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