CONNECTEDNESS AND SEPARATION IN THE CATEGORY OF CLOSURE SPACES

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Baran M., Tokat D., KULA M.

FILOMAT, vol.24, no.2, pp.67-79, 2010 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.2298/fil1002067b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.67-79
  • Keywords: Topological category, closure space, separation, connectedness
  • Open Archive Collection: AVESIS Open Access Collection
  • Erciyes University Affiliated: Yes

Abstract

In previous papers, various notions of (strongly) closed subobject, (strongly) open subobject, connected and T(i), i = 0, 1, 2 objects in a topological category were introduced and compared. The main objective of this paper is to characterize each of these classes of objects in the category of closure spaces as well as to examine how these generalizations are related.