Remarks on products of generalized topologies

DOI10.1007/s10474-009-8207-xzbMath1212.54010OpenAlexW2138139093MaRDI QIDQ987579

J. Martínez

Publication date: 13 August 2010

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8207-x

zbMATH Keywords

connectednesscontinuityproductcompactnesscompactirreducibleconnectedpreopengeneralized topology\(\alpha\)-opensemi-open\(\alpha\)-connected\(\beta\)-connected\(\beta\)-open\(\pi\)-connected\(\sigma\)-connected

Mathematics Subject Classification ID

Compactness (54D30) Topological spaces and generalizations (closure spaces, etc.) (54A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Product spaces in general topology (54B10) Connected and locally connected spaces (general aspects) (54D05) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (10)

Weak and strong structures and the \(T_{3.5}\) property for generalized topological spaces ⋮ Baireness on generalized topological spaces ⋮ On upper and lower \(\beta(\mu_X, \mu_Y)\)-continuous multifunctions ⋮ On \(g\)-\(\alpha\)-irresolute functions ⋮ Product methods and \(G\)-connectedness ⋮ Generalized quotient topologies ⋮ Contra \(g\)-\(\alpha\)- and \(g\)-\(\beta\)-preirresolute functions on GTS's ⋮ Extension closed properties on generalized topological groups ⋮ Characterizations of upper and lower \alpha(\mu_X,\mu_Y)-continuous multifunctions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A note on generalized connectedness
• Generalized open sets
• Generalized topology, generalized continuity
• \(\gamma\)-connected sets
• Generalized open sets in generalized topologies
• \(\gamma\)-compact spaces

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