A general framework for studying certain generalized topologically open sets in relator spaces

DOI10.1007/978-3-030-72563-1_19zbMath1473.54001OpenAlexW3195861916MaRDI QIDQ1982266

Themistocles M. Rassias, Árpád Száz

Publication date: 7 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-72563-1_19

zbMATH Keywords

general frameworkrelator spacesgeneralized topologically open set

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05)

Related Items

Super and hyper products of super relations ⋮ Ordinary, super and hyper relators can be used to treat the various generalized open sets in a unified way

Cites Work

• A particular Galois connection between relations and set functions.
• Quasi-uniformization of topological spaces
• Further remarks on the formula for \(\gamma\)-interior
• Remarks on \(\gamma\)-interior
• Remarks on quasi-topologies
• Basic tools and mild continuities in relator spaces
• Relators generating the same generalized topology
• Connector theory
• Modifications of relators
• On the \(\gamma\)-interior and \(\gamma\)-closure of a set
• Generalized open sets
• On the topology generated by semi-regular sets
• Corelations are more powerful tools than relations
• On group algebras with metabelian unit groups
• Set-theoretic properties of generalized topologically open sets in relator spaces
• Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces
• Metrizability of certain countable unions
• A unification of weakening of open and closed subsets in a topological space
• On some classes of nearly open sets
• Construction of quasi-uniformities
• New concepts in the theory of topological space-supercondensed set, subcondensed set, and condensed set
• On uniformities generated by equivalence relations
• γ-quasi-open sets
• Indexed Systems of Neighborhoods for General Topological Spaces
• Birelator Spaces Are Natural Generalizations of Not Only Bitopological Spaces, But Also Ideal Topological Spaces
• Introduction to Boolean Algebras
• Applications of pre-open sets
• Minimal structures, generalized topologies, and ascending systems should not be studied without generalized uniformities
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Remarks on $\gamma$-Quasi-open sets
• Basic Tools, Increasing Functions, and Closure Operations in Generalized Ordered Sets
• Some Remarks on the Closure Operator in Topological Spaces
• On the Community of the Closure and Interior Operators in Topological Spaces
• On a theorem of Levine
• A Further Note on Closure and Interior Operators
• Two Theorems About Relations
• Intersection and Closure
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