Density in categorical topology via quantaloid-enriched categories
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Publication:820671
DOI10.1016/J.TOPOL.2020.107524zbMath1475.54007arXiv2005.06304OpenAlexW3024351458MaRDI QIDQ820671
Publication date: 27 September 2021
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.06304
concrete categorytopological categoryinitial densityGalois correspondencequantaloidquantaloid-enriched categoryfinal densitySierpiński object
Categorical methods in general topology (54B30) Enriched categories (over closed or monoidal categories) (18D20) Categories of topological spaces and continuous mappings (18F60)
Cites Work
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- Initial completions
- Yoneda structures on 2-categories
- Fixed points of adjoint functors enriched in a quantaloid
- On the categories of general topology and topological algebra
- Topological categories, quantaloids and Isbell adjunctions
- Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions
- Topological = total
- Monoidal Topology
- An extension of the Galois theory of Grothendieck
- Approach Spaces A Common Supercategory of TOP and MET
- Metric spaces, generalized logic, and closed categories
- Topological functors
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- Top categories and categorical topology
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