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A Quillen model structure for Gray-categories

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Publication:3100187
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DOI10.1017/IS010008014JKT127zbMath1257.18013arXiv1001.2366OpenAlexW2083944474MaRDI QIDQ3100187

Stephen Lack

Publication date: 22 November 2011

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2366


zbMATH Keywords

enriched categoryQuillen model categoryhomotopy hypothesisGray-categoryhomotopy 3-types


Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35)


Related Items (8)

A skew approach to enrichment for Gray-categories ⋮ A 3‐categorical perspective on G$G$‐crossed braided categories ⋮ Pointed homotopy and pointed lax homotopy of 2-crossed module maps ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Comparing geometric realizations of tricategories ⋮ Equipping weak equivalences with algebraic structure ⋮ Towards a globular path object for weak \(\infty\)-groupoids




Cites Work

  • Formal category theory: Adjointness for 2-categories
  • Unnamed Item
  • Unnamed Item




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