On certain 2-categories admitting localisation by bicategories of fractions

DOI10.1007/S10485-015-9400-4zbMath1353.18005arXiv1402.7108OpenAlexW3098440507MaRDI QIDQ726711

David Michael Roberts

Publication date: 14 July 2016

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7108

zbMATH Keywords

2-categoriesbicategories of fractionslocalization, stacks

Mathematics Subject Classification ID

Grothendieck topologies and Grothendieck topoi (18F10) Localization of categories, calculus of fractions (18E35)

Related Items (2)

The elementary construction of formal anafunctors ⋮ Bicategories of fractions revisited: towards small homs and canonical 2-cells

Cites Work

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• The weak choice principle WISC may fail in the category of sets
• Two-dimensional sheaf theory
• Avoiding the axiom of choice in general category theory
• Some insights on bicategories of fractions: representations and compositions of 2-morphisms
• Internal categories, anafunctors and localisations
• The axiom of multiple choice and models for constructive set theory
• Exact completions and small sheaves
• Bicategorical fibration structures and stacks
• Embedding orders into the cardinals with \mathsf DC_κ

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