Quotient-reflective and bireflective subcategories of the category of preordered sets


BARAN M. , AL-SAFAR J.

TOPOLOGY AND ITS APPLICATIONS, cilt.158, ss.2076-2084, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 158 Konu: 15
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.topol.2011.06.043
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.2076-2084

Özet

In previous papers, the notions of "closedness" and "strong closedness" in set-based topological categories were introduced. In this paper, we give the characterization of closed and strongly closed subobjects of an object in the category Prord of preordered sets and show that they form appropriate closure operators which enjoy the basic properties like idempotency (weak) hereditariness, and productivity.