On some properties of $\mathcal{I}^\mathcal{K}_{sn}$-topological spaces
Abstract
In this paper, we introduce the notion of I^K_sn-open set and show that the family of I^K_sn-open sets in a topological space forms a topology. The category of I^K-neighborhood spaces is introduced and several properties are obtained there after. Moreover, we obtain a necessary and sufficient condition for the coincidence of the notions ``preserving I^K-convergence'' and `` I^K-continuity'' for any mapping defined on $X$. Several mappings that are defined on a topological space are shown to be coincident in an I^K-sequential space. The entire investigation is performed in the setting of I^K-convergence which further extends the recent
developments [11,13,1].
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References
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Funding data
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University Grants Commission
Grant numbers 1115/(CSIR-UGC NET DEC. 2017)
