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

著者情報

キーワード: Topological operation, γ-open sets, Operation open sets, Operation-closures, Subspace-operation, Operation-closure formula in subspaces

ジャーナルフリー

2012 年 75 巻 3 号 p. 307-315

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

詳細

抄録

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).

責任著者(Corresponding author)

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