Operation Pc-Open Sets and Operation Pc-Separation Axioms in Bitopological Spaces

Author:

Khedr Fathi Hesham1,Sayed Osama Rashed1

Affiliation:

1. 1 Department of Mathematics, Faculty of Science , Assiut University , Egypt

Abstract

Abstract In the present paper, we introduce new types of generalized closed sets called ij -pre-generalized closed sets and study some of their properties in bi-topological spaces. Also, we use them to construct new types of separation axioms. Further, we introduce and study the concepts of pairwise operation pc-open sets and pairwise operation pc-separation axioms in bitopological spaces. Several interesting characterizations of different spaces are discussed. The relationships between these spaces are given.

Publisher

Walter de Gruyter GmbH

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference22 articles.

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2. AHMAD, B. —HUSSAIN, S.: Properties of γ-operations in topological spaces, Aligarh Bull. Math. 22 (2003), no. 1, 45–51.

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4. CHATTOPADHYAY, A.: pre-T0 and pre-T1 Topological Spaces, J. Indian Acad. Math. 17 (1995), no. 2, 156–159.

5. FUKUTAKE, T.: On generalized closed sets in bitopological spaces, Bull. Fukuoka Univ. ed. III 35 (1986), 19–28.

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