On Slight Omega Continuity and Irresoluteness between Generalized Topological Spaces

We introduce slightly ω - ( μ 1 , μ 2 ) -continuous and slightly ω - ( μ 1 , μ 2 ) -irresolute functions as two new classes of functions on generalized topological spaces. We obtained several properties and characterizations of these functions. Moreover, we deal with preservations of Lindelofness, m...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 12; no. 5; p. 780
Main Authors Al Ghour, Samer, Al-Nimer, Abeer
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.05.2020
Subjects
(μ1,μ2)-perfect
Continuity (mathematics)
Functions (Mathematics)
Mathematical research
slightly (μ1,μ2)-continuous
slightly ω-(μ1,μ2)-irresolute
Topological spaces
Topology
μ-Lindelof
μ-mildly-Lindelof
ω-open
Jordan
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Summary:We introduce slightly ω - ( μ 1 , μ 2 ) -continuous and slightly ω - ( μ 1 , μ 2 ) -irresolute functions as two new classes of functions on generalized topological spaces. We obtained several properties and characterizations of these functions. Moreover, we deal with preservations of Lindelofness, mild Lindelofness, mildly countable compactness, and connectedness under images or inverse images of a class of functions, which gives symmetric relationships.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12050780