• pg**- CLOSED SETS IN TOPOLOGICAL SPACES

PUNITHA THARANI, PRISCILLA PACIFICA*

Abstract


In this paper we introduce a new class of sets called pg**- closed sets in topological spaces which is properly placed in between the class of closed sets and gsp-closed sets. As an application, we introduce new spaces namely,             p - space, -space, -space, -space and p -space. Further, pg** -continuous, pg**-irresolute mappings are also introduced and investigated.


Keywords


pg**-closed set, pg**-continuous map, pg**-irresolute map, pT_(1⁄2)^(**)- space,〖(_αp^)T〗_c^*-space, 〖(_p^*)T〗_(1⁄2)^*-space, (_p^(**))T_(1⁄2) -space and pT_c^*-spaces.

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