-Regular Sets in Topology and Generalized Topology

Ankit Gupta and Ratna Dev Sarma

Journal of Mathematics, 2014, vol. 2014, 1-6

Abstract:

We define and study a new class of regular sets called -regular sets. Properties of these sets are investigated for topological spaces and generalized topological spaces. Decompositions of regular open sets and regular closed sets are provided using -regular sets. Semiconnectedness is characterized by using -regular sets. -continuity and almost -continuity are introduced and investigated.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:274592

DOI: 10.1155/2014/274592

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