Unified characterizations for modifications of \(R_0\) and \(R_1\) topological spaces

DOI10.1007/BF02874665zbMath1196.54042MaRDI QIDQ997518

Takashi Noiri

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

\(m\)-structure\(m\)-closed\(m\)-open\((\lambda,m)\)-open\(\lambda_m\)-set\(m\)-\(R_0\)\(m\)-\(R_1\)Generalized topology

Mathematics Subject Classification ID

Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (13)

A unified theory for irresolute functions ⋮ Unnamed Item ⋮ \(\mu\)-\(S\)-closed spaces ⋮ More properties of generalized open sets in generalized topological spaces ⋮ On nearly Lindelöf spaces via generalized topology ⋮ Some properties and mappings on weakly ν-Lindelöf generalized topological spaces ⋮ Weakly μ-compact spaces ⋮ Functions and wν-Lindelöf with respect to a hereditary class ⋮ (ζ, δ(µ))-closed sets in strong generalized topological spaces ⋮ Unnamed Item ⋮ More on \(\mu\)-semi-Lindelöf sets in \(\mu\)-spaces ⋮ On generalized preopen sets ⋮ On some properties of generalized open sets in generalized topological spaces

Cites Work

• Computer graphics and connected topologies on finite ordered sets
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• Characterizations of \(\Lambda_\theta-R_0\) and \(\Lambda_\theta-R_1\) topological spaces
• On \(\Lambda_m\)-sets and related topological spaces
• Study of \((\Lambda,\alpha)\)-closed sets and the related notions in topological spaces
• On some classes of nearly open sets
• A unified theory of \(\theta\)-continuity for functions
• Indexed Systems of Neighborhoods for General Topological Spaces
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Characterizations of low separation axioms via \alpha-open sets and \alpha-closure operator
• Decompositions of continuity and complete continuity
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