Some generalized open sets in ideal topological spacesé


Aklz H. F., Özcan M.

Asian-European Journal of Mathematics, cilt.18, sa.07, 2025 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 07
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s179355712550010x
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Ideal topological space, γ-b-I-open set, γ-pre-I-open set, γ-semi-I-open set
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.