Compactness, perfectness, separation, minimality and closedness with respect to closure operators

Baran M.

APPLIED CATEGORICAL STRUCTURES, cilt.10, sa.4, ss.403-415, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 4
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1023/a:1016388102703
  • Dergi Adı: APPLIED CATEGORICAL STRUCTURES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.403-415
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, the characterization of closed and strongly closed subobjects of an object in categories of various types of filter convergence spaces is given and it is shown that they induce a notion of closure. Furthermore, each of the notions of compactness, perfectness, separation, minimality and absolute closedness with respect to these two new closure operators are characterized in these categories and some known results are re-obtained.