A unified theory of \(R\)-continuity

DOI10.1007/s10474-007-6155-xzbMath1164.54005OpenAlexW2077080907MaRDI QIDQ950341

Valeriu Popa, Takashi Noiri

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10474-007-6155-x

zbMATH Keywords

\(m\)-structure\(M\)-continuity\(m\)-open\(R\)-\(M\)-continuity\(R\)-continuity\(R\)-irresoluteness\(R\)-preirresoluteness

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Weak and generalized continuity (54C08) Topological spaces and generalizations (closure spaces, etc.) (54A05)

Cites Work

• \(\alpha\)-continuous and \(\alpha\)-open mappings
• On \(\alpha\)-continuity in topological spaces
• \(R\)-continuous functions
• Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence
• Weak and strong forms of \(\beta\)-irresolute functions
• On \(\Lambda_m\)-sets and related topological spaces
• A unified theory for strong \(\theta\)-continuity for functions
• On some classes of nearly open sets
• A unified theory of \(\theta\)-continuity for functions
• A unified theory of weak continuity for functions
• Indexed Systems of Neighborhoods for General Topological Spaces
• Weakly Closed Functions and Hausdorff Spaces
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Semi-topological properties
• Decompositions of continuity and complete continuity
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