T0-reflection and some separation axioms in PRETOP

DOI10.2298/FIL1809289MzbMath1499.54078OpenAlexW2941544534WikidataQ128006894 ScholiaQ128006894MaRDI QIDQ5032373

Abdelwaheb Mhemdi, Mouldi Abbassi, Sami Lazaar

Publication date: 16 February 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1809289m

zbMATH Keywords

reflective subcategoryseparation axiomspretopological space

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (2)

On the category of ordered pre-topological spaces ⋮ Functionally separation axioms on general topology

Cites Work

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• Quasihomeomorphisms and meet-semilattice equivalences of generalized topological spaces
• \(T_{(\alpha,\beta)}\)-spaces and the Wallman compactification
• Generalized topology, generalized continuity
• The envelope of a subcategory in topology and group theory
• Generalized open sets in generalized topologies
• Ti-ordered reflections
• On some properties of $T_0$-ordered reflection

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