On some properties of $\mathcal{I}^\mathcal{K}_{sn}$-topological spaces

Ankur Sharmah; Debajit Hazarika

doi:10.5269/bspm.62781

Autores/as

Ankur Sharmah Tezpur University https://orcid.org/0000-0002-3894-642X
Debajit Hazarika Tezpur University

DOI:

https://doi.org/10.5269/bspm.62781

Resumen

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].

Biografía del autor/a

Ankur Sharmah, Tezpur University

Department of Mathematics
Debajit Hazarika, Tezpur University

Department of Mathematics

Referencias

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