On the definability of Menger spaces which are not sigma-compact


Tall F. D. , TOKGÖZ S.

TOPOLOGY AND ITS APPLICATIONS, vol.220, pp.111-117, 2017 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 220
  • Publication Date: 2017
  • Doi Number: 10.1016/j.topol.2017.02.018
  • Title of Journal : TOPOLOGY AND ITS APPLICATIONS
  • Page Numbers: pp.111-117

Abstract

Hurewicz proved completely metrizable Menger spaces are a-compact. We extend this to Oech-complete Menger spaces, and consistently, to projective metrizable Menger spaces. On the other hand, it is consistent that there is a co-analytic Menger metrizable space that is not a-compact. (C) 2017 Elsevier B.V. All rights reserved.