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

Tall F. D., TOKGÖZ S.

TOPOLOGY AND ITS APPLICATIONS, cilt.220, ss.111-117, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 220
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.topol.2017.02.018
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.111-117
  • Anahtar Kelimeler: Menger, sigma-compact, Projective set of reals, Analytic, Co-analytic, K-analytic, Determinacy, p-Space, s-Space, Sigma-space, LINDELOF SPACES, P-SPACES, HUREWICZ, REMAINDERS
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.