Stone spaces I

BARAN M.

Filomat, vol.38, no.16, pp.5739-5752, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 16
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2416739b
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5739-5752
  • Keywords: compact spaces, extremally disconnected spaces, Graphs, spatial graphs, Stone spaces, T2 spaces
  • Erciyes University Affiliated: Yes

Abstract

The aim of this paper is to propose a categorical definition of extremally disconnected and Stone objects (spaces) in a topological category and examine the relationship between them. Moreover, we characterize each of Tk, k = 0, 1, 2, compact, extremally disconnected, and Stone (transitive) spatial graphs and prebornological spaces as well as investigate some properties of them. Finally, we compare our results.