SUBSPACE-OPERATIONS ON TOPOLOGICAL SPACES

Haruo Maki; G.Sai Sundara Krishnan; Hayao Ogata

doi:10.32219/isms.75.3_307

Haruo Maki, G.Sai Sundara Krishnan, Hayao Ogata

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Keywords: Topological operation, γ-open sets, Operation open sets, Operation-closures, Subspace-operation, Operation-closure formula in subspaces

JOURNAL FREE ACCESS

2012 Volume 75 Issue 3 Pages 307-315

DOI https://doi.org/10.32219/isms.75.3_307

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Abstract

Some concepts of operations on a subspace-topology are presented on a subspace of a given topological space (Definitions 2.1, 2.3) and some operation-open sets on the subspace are introduced (Definition 3.2). And we investigate some relationships among families of such operation-open sets (Theorem 3.9, Corollary 3.11). As an application, we have an operation-closure formula for a subspace (cf. Theorem 4.5).

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