Smallness in topology

DOI10.2989/16073606.2023.2247720zbMath1524.18024arXiv2302.00050OpenAlexW4388128808MaRDI QIDQ6087844

Walter Tholen, Jiří Adámek, Miroslav Hušek, Jiří Rosický

Publication date: 16 November 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.00050

zbMATH Keywords

finitely presentable objectcompact spaceHausdorff spacedirected colimitfinitely generated object\(\mathrm{T}_0\)-space\(\mathrm{T}_1\)-spacefinitely small object

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Accessible and locally presentable categories (18C35) Categories of topological spaces and continuous mappings (18F60)

Cites Work

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• The Lattice of Topologies: Structure and Complementation
• Separation Axioms and Direct Limits
• On a Reflective Subcategory of the Category of all Topological Spaces

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