On the construction of limits and colimits in $\infty$-categories

zbMath1451.18043arXiv1808.09835MaRDI QIDQ3305543

Emily Riehl, Dominic Verity

Publication date: 7 August 2020

Full work available at URL: https://arxiv.org/abs/1808.09835

zbMATH Keywords

limitinfinity categorycolimitinfinity cosmos

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Topological categories, foundations of homotopy theory (55U40) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60)

Related Items (1)

Labelled cospan categories and properads

Cites Work

• Pro-categories in homotopy theory
• Homotopy coherent adjunctions and the formal theory of monads
• Weak complicial sets. I: Basic homotopy theory
• Yoneda structures on 2-categories
• The 2-category theory of quasi-categories
• The comprehension construction
• Vogt's theorem on categories of homotopy coherent diagrams
• Higher Categories and Homotopical Algebra
• Fibrations of $\infty$-categories
• Higher Topos Theory (AM-170)

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