TD Reflexive Spaces


EMİR A., Nergiz M.

Boletim da Sociedade Paranaense de Matematica, cilt.44, sa.5, 2026 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2026
  • Doi Numarası: 10.5269/bspm.81025
  • Dergi Adı: Boletim da Sociedade Paranaense de Matematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: reflexive space, strongly open, TD space, Topological category
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we characterize strongly open subsets of a reflexive space and show that there is a bijection from the set MB of all strongly open subsets of a reflexive space B onto the set Eq(B) of all equivalence relations on B. Moreover, we characterize each of TD, T1 and T2 reflexive spaces and compare them.