New class of weak open sets via R-interior and a decomposition of continuity

New class of weak open sets via R-interior and a decomposition of continuity

In this paper, some new class of sets R*I-S(X), R*I-P(X) and R*I-α(X) which are the collection of all 'R*I-semi -open', 'R*I -pre-open' and 'R*I-α-open set's are introduced and we analysed how the sets are related with them and examine the relationship the other similar...

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Veröffentlicht in:Journal of physics. Conference series 2019-11, Vol.1377 (1), p.12008
Hauptverfasser: Manoharan, R., Prasanna Venkatesh, L.
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Sprache:eng
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Continuity (mathematics)
Physics
Topology
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description In this paper, some new class of sets R*I-S(X), R*I-P(X) and R*I-α(X) which are the collection of all 'R*I-semi -open', 'R*I -pre-open' and 'R*I-α-open set's are introduced and we analysed how the sets are related with them and examine the relationship the other similar collection of weak open sets in ideal and general topological spaces. Also we obtained an equivalent wayof representing continuous function interms of funcions which are defined using weak open sets in R*-topological spaces.
doi_str_mv 10.1088/1742-6596/1377/1/012008
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subjects Continuity (mathematics)
Physics
Topology
title New class of weak open sets via R-interior and a decomposition of continuity
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