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2015•International Journal of Mathematical ArchiveRequires access

• (gsp)** - CLOSED SETS IN TOPOLOGICAL SPACES

Punitha Tharani, Priscilla Pacifica

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Abstract

I n this paper we introduce a new class of sets called (gsp)**-closed sets in topological spaceswhich is properly placed in between the class of closed sets and gsp-closed sets. As an application, we introduce two new spaces namely, space, space. Further, (gsp)**-continuous, (gsp)**-irresolute mappings are also introduced and investigated.

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What this paper is about

I n this paper we introduce a new class of sets called (gsp)**-closed sets in topological spaceswhich is properly placed in between the class of closed sets and gsp-closed sets. As an application, we introduce two new spaces namely, space, space. Further, (gsp)**-continuous, (gsp)**-irresolute mappings are also introduced and investigated.

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Available abstract

I n this paper we introduce a new class of sets called (gsp)**-closed sets in topological spaceswhich is properly placed in between the class of closed sets and gsp-closed sets. As an application, we introduce two new spaces namely, space, space. Further, (gsp)**-continuous, (gsp)**-irresolute mappings are also introduced and investigated.

Key concepts: Closed set, Topological space, Class (philosophy), Space (punctuation), Mathematics, Topology (electrical circuits), Pure mathematics, Open and closed maps

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