On sifted colimits in the presence of pullbacks

zbMath1477.18006arXiv2109.12708MaRDI QIDQ5019078

Ruiyuan Chen

Publication date: 29 December 2021

Full work available at URL: https://arxiv.org/abs/2109.12708

zbMATH Keywords

exact categorysifted colimitfree cocompletionreflexive coequalizer

Mathematics Subject Classification ID

Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Accessible and locally presentable categories (18C35) Regular categories, Barr-exact categories (18E08)

Related Items

Virtual concepts in the theory of accessible categories

Cites Work

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• Lex colimits
• Notions of Lawvere theory
• Limits of small functors
• The closure of a class of colimits
• A classification of accessible categories
• The symmetric topos
• Class-locally presentable and class-accessible categories
• A characterisation of algebraic exactness
• The heart of a combinatorial model category
• Accessible Categories: The Foundations of Categorical Model Theory
• Higher Topos Theory (AM-170)
• On algebraically exact categories and essential localizations of varieties