Mild Continuity Properties of Relations and Relators in Relator Spaces

DOI10.1007/978-3-319-31338-2_16zbMath1447.54010OpenAlexW2483908203MaRDI QIDQ4554335

Amr Zakaria, Árpád Száz

Publication date: 13 November 2018

Published in: Essays in Mathematics and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31338-2_16

zbMATH Keywords

relator spacedirect unary operatormildly continuous

Mathematics Subject Classification ID

Continuous maps (54C05) Weak and generalized continuity (54C08) Topological spaces and generalizations (closure spaces, etc.) (54A05)

Related Items (5)

Contra Continuity Properties of Relations in Relator Spaces ⋮ Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces ⋮ Birelator Spaces Are Natural Generalizations of Not Only Bitopological Spaces, But Also Ideal Topological Spaces ⋮ Ordinary, super and hyper relators can be used to treat the various generalized open sets in a unified way ⋮ Set-theoretic properties of generalized topologically open sets in relator spaces

Cites Work

• A particular Galois connection between relations and set functions.
• Quasi-uniformization of topological spaces
• Projective and inductive generations of relator spaces
• Basic tools and mild continuities in relator spaces
• Inverse and symmetric relators
• Relators generating the same generalized topology
• Connector theory
• Modifications of relators
• Contra-continuous functions and strongly \(S\)-closed spaces
• On uniformities generated by equivalence relations
• Indexed Systems of Neighborhoods for General Topological Spaces
• Minimal structures, generalized topologies, and ascending systems should not be studied without generalized uniformities
• Basic Tools, Increasing Functions, and Closure Operations in Generalized Ordered Sets
• Two Theorems About Relations
• Contra continuity on generalized topological spaces
• Contra continuity on generalized topological spaces
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