On generalized \(R_0\) and \(R_1\) spaces

DOI10.1007/s10474-009-9135-5zbMath1224.54007OpenAlexW1849981643MaRDI QIDQ532077

Yong-Cai Geng, Sumit K. Garg

Publication date: 26 April 2011

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

Full work available at URL: https://doi.org/10.1007/s10474-009-9135-5

zbMATH Keywords

generalized topological space\(g\)-\(R_0\) and \(g\)-\(R_1\) space\(g\)-convergence of nets\(g\)-open setgeneralized \(R_{0}\) topological spacegeneralized \(R_{1}\) topological spacegeneralized convergent net

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (8)

A unified theory of contra-\((\mu,\lambda)\)-continuous functions in generalized topological spaces ⋮ Contra \((\mu g,\lambda)\)-continuous functions ⋮ \(\zeta_{\mu}\)-sets in generalized topological spaces ⋮ Unification of almost regular, almost normal and mildly normal topological spaces ⋮ (ζ, δ(µ))-closed sets in strong generalized topological spaces ⋮ More on \(\mathcal{D}\alpha \)-closed sets in topological spaces ⋮ Unnamed Item ⋮ Some regular generalized star b-separation axiom in bigeneralized topological spaces

Cites Work

• Separation axioms for generalized topologies
• \(\delta\)- and \(\theta\)-modifications of generalized topologies
• On \(\delta D\)-sets and associated weak separation axioms
• Generalized topology, generalized continuity
• Characterizations of \(\Lambda_\theta-R_0\) and \(\Lambda_\theta-R_1\) topological spaces
• On some classes of nearly open sets
• Generalized open sets in generalized topologies
• Indexed Systems of Neighborhoods for General Topological Spaces
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• R₁-Topological Spaces¹
• Characterizations of low separation axioms via \alpha-open sets and \alpha-closure operator
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