Role Of ψ-Operator in the Study of Minimal Open Sets

C. MIAH; S. MODAK; MD. M. ISLAM

doi:10.24996/ijs.2023.64.11.22

Authors

C. MIAH Department of Mathematics, Sukanta Mahavidyalaya, Dhupguri, Jalpaiguri 735210, India. https://orcid.org/0000-0002-4965-1758
S. MODAK Department of Mathematics, University of Gour Banga, Mokdumpur, Malda 732103, India. https://orcid.org/0000-0002-0226-2392
MD. M. ISLAM Department of Mathematics, Kaliachak College, Sultanganj, Malda 732201, India. https://orcid.org/0000-0003-4748-4690

DOI:

https://doi.org/10.24996/ijs.2023.64.11.22

Keywords:

*-open set, Minimal I^*-open set, ()^*-operator, ψ-operator, Homeomorphism

Abstract

The operator ψ has been introduced as an associated set-valued set function. Although it has importance for the study of minimal open sets as well as minimal I-open sets. As a result of this study, we introduce minimal I^*-open sets . In this study, several characterizations of minimal I^*-open sets are also investigated. This study also discusses the role of minimal I^*-open sets in the *-locally finite spaces. In an aspect of topological invariant, the homeomorphic images of minimal I^*-open set has been discussed here.