Study of Maximal Open Sets and Its Image with Ideals

Chhapikul Miah; Shyamapada Modak; Md. Monirul  Islam

doi:10.5269/bspm.65362

Chhapikul Miah Assistant Professor, Department of Mathematics, Sukanta Mahavidyalaya
Shyamapada Modak University of Gour Banga
Md. Monirul Islam Kaliachak College

Resumo

The operator $\psi$ has been introduced as an associated set-valued set-function. But it is also important for the study of maximal open sets. As a result of these studies, maximal $I$-open sets and maximal $I^{*}$-open sets have been introduced through this write up. Several characterizations of maximal $I$-open sets and maximal $I^{*}$-open sets have been studied in this paper. The role of maximal $I$-open sets and maximal $I^{*}$-open sets in the cofinite subsets has also been discussed in this paper. In aspects of topological invariant, the homeomorphic images of maximal $I$-open set and maximal $I^{*}$-open set have been discussed here.

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