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On \((\gamma,\delta)\)-bitopological semi-closed set via topological ideal. (English) Zbl 1304.54055

Summary: In this paper we introduce a new class of generalized closed sets in bitopological spaces using local functions, two extension operators and semi-open sets. We also investigate some properties in subspace bitopology defining kernel and image.

MSC:

54E55 Bitopologies
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
54C08 Weak and generalized continuity
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54D99 Fairly general properties of topological spaces
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[15] Binod Chandra Tripathy Mathematical Sciences Division Institute of Advanced Study in Science and Technology Paschim Boragaon Garchuk Guwahati-781035 Assam India. e-mail:
[17] Santanu Acharjee Mathematical Sciences Division Institute of Advanced Study in Science and Technology Paschim Boragaon Garchuk Guwahati-781035 Assam India e-mail:
[18] Received : January 2014. Accepted : April 2014
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