Topogenous orders and related families of morphisms

DOI10.2989/16073606.2023.2247739zbMath1524.18001arXiv2303.15054MaRDI QIDQ6087852

Minani Iragi, David Holgate

Publication date: 16 November 2023

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

Full work available at URL: https://arxiv.org/abs/2303.15054

zbMATH Keywords

closure operatorcategorical topogenous orderinterior operatorheredity(co)pointed endofunctors\(\mathcal{M}\)-fibrationsinitial and final morphismsstrict, co-strict

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Definitions and generalizations in theory of categories (18A05) Syntopogeneous structures (54A15) Categories of topological spaces and continuous mappings (18F60)

Cites Work

• Topogenous and nearness structures on categories
• On coarse and fine neighbourhood operators
• Categorical neighborhood operators
• Closure operators. I
• The pullback closure operator and generalisations of perfectness
• Openness with respect to a closure operator
• Quasi-uniform and syntopogenous structures on categories
• Interior operators, open morphisms and the preservation property
• Interior and neighbourhood
• Quasi-uniform structures determined by closure operators
• Interior Operators in General Categories
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