Weak complicial sets. I: Basic homotopy theory
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Publication:950425
DOI10.1016/j.aim.2008.06.003zbMath1158.18007arXivmath/0604414OpenAlexW2029215936MaRDI QIDQ950425
Publication date: 22 October 2008
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604414
simplicial setsKan complexQuillen model categoryhigher category theoryGray tensor productquasi-categorycategorical homotopy theoryhorn filler conditionweak complicial set
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The algebra of oriented simplexes
- Homotopy limits and colimits
- Quasi-categories and Kan complexes
- Joins for (augmented) simplicial sets
- Ordinal subdivision and special pasting in quasicategories
- Homotopical algebra
- Adjoint Functors
- Vogt's theorem on categories of homotopy coherent diagrams
- Accessible Categories: The Foundations of Categorical Model Theory
- On Injectivity in Locally Presentable Categories
- Sheafifiable homotopy model categories
- Complicial sets characterising the simplicial nerves of strict 𝜔-categories
- On closed categories of functors
- Homotopy coherent category theory
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