A notion of compactness in topological categories


Baran M.

PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.50, ss.221-234, 1997 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 50
  • Basım Tarihi: 1997
  • Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
  • Sayfa Sayıları: ss.221-234

Özet

In this paper, the notion of compactness as well as the notion of compact pairs for an arbitrary topological category is introduced. Furthermore, various generalizations of Tychonoff (completely regular T-1-objects) objects for an arbitrary topological category is given and the relationships among these various forms are investigated. Finally, closed and proper (perfect) morphisms are defined in an arbitrary topological category and some well-known results in the category of topological spaces are proved.