Some generalized open sets in ideal topological spacesé


Aklz H. F., Özcan M.

Asian-European Journal of Mathematics, vol.18, no.07, 2025 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 07
  • Publication Date: 2025
  • Doi Number: 10.1142/s179355712550010x
  • Journal Name: Asian-European Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Keywords: Ideal topological space, γ-b-I-open set, γ-pre-I-open set, γ-semi-I-open set
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this paper, we introduce generalized open sets, namely γ-pre-I-open, γ-semi-I-open, and γ-b-I-open sets in ideal topological spaces. We explain these notions thoroughly in the light of examples. Then, we give some of their properties and explore the relationships between these generalized open sets. Moreover, we define the γ-b-I-Hausdorff space in ideal topological spaces.