• A RESEARCH DISCOURSE ON δ-b-CONTINUOUS & S-b- PRECONTINUOUS FUNCTIONS IN TOPOLOGICAL SPACES

Dr. THAKUR C. K. RAMAN*

Abstract


This paper proposes some new concepts of generalized open sets and decomposition of continuity via strongly b-preopen seets, δ-b-sets and b-α-open sets. the notions of these conceptualized sets viz s-b-preopen &δ-b-sets etc are introduced  with their basic properties. The behaviour of these proposed sets viz s-b-preopen &δ-b-sets in comparison to the other generalized structures already available in the literature in here analysed. The literature of the contents in the paper explores one new decomposition of continuity as the final result.


Keywords


b-semiopen, b-preopen, locally b-closed, s-b-preopen, b- α-open, b- β–open & δ-b-set.

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