Closure operators in convergence approach spaces

QASIM M., BARAN M., ABUGHALWA H.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.1, ss.139-152, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2008-65
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.139-152
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we characterize closed and strongly closed subsets of convergence approach spaces and introduce two notions of closure in the category of convergence approach spaces which satisfy idempotent, productive and (weakly) hereditary properties. Furthermore, we explicitly characterize each of T-i convergence approach spaces, i = 0, 1, 2 with respect to these closure operators and show that each of these subcategories of T-i convergence approach spaces, i = 0, 1, 2 are epireflective as well as we investigate the relationship among these subcategories. Finally, we characterize connected convergence approach spaces.