Closure Operators in Semiuniform Convergence Spaces

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BARAN M., KULA S., BARAN T. M., QASIM M.

FILOMAT, cilt.30, sa.1, ss.131-140, 2016 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1601131b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.131-140
  • Anahtar Kelimeler: Topological category, semiuniform convergence space, T-0 objects, T-1 objects
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, the characterization of closed and strongly closed subobjects of an object in category
of semiuniform convergence spaces is given and it is shown that they induce a notion of closure
which enjoy the basic properties like idempotency,(weak) hereditariness, and productivity in the category
of semiuniform convergence spaces. Furthermore, T1 semiuniform convergence spaces with respect to
these two new closure operators are characterized.