Yayınlanmış 1 Ocak 2017 | Sürüm v1
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On the definability of Menger spaces which are not sigma-compact

  • 1. Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
  • 2. Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey

Açıklama

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.

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