A coanalytic Menger group that is not sigma-compact

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TOKGÖZ S.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.1, pp.12-20, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1612-84
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.12-20
  • Keywords: Coanalytic, Menger, Hurewicz, Rothberger, gamma-property, sigma-compact, V = L, productively Lindelof, topological group, LINDELOF SPACES, REAL NUMBERS, OPEN COVERS, COMBINATORICS, SETS, HUREWICZ, PROPERTY
  • Hacettepe University Affiliated: Yes

Abstract

Under V = L we construct coanalytic topological subgroups of reals, demonstrating that even for definable groups of reals, selection principles may differ.