Domain representability of retracts

ÖNAL S., VURAL Ç.

TOPOLOGY AND ITS APPLICATIONS, vol.194, pp.1-3, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 194
  • Publication Date: 2015
  • Doi Number: 10.1016/j.topol.2015.07.016
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-3
  • Middle East Technical University Affiliated: Yes

Abstract

We prove that every retract of a domain representable space is domain representable. Consequently, we obtained that if C-p (X) is a countable union of its closed subcompact subspaces then X is discrete. This solves Question 7 in [5]. (C) 2015 Elsevier B.V. All rights reserved.