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Centro de Ciencias Matemáticas UNAM

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Type: Article

Malykhin's problem

Abstract:

We construct a model of ZFCZFC where every separable Fréchet topological group is metrizable. This solves a 1978 problem of V.I. Malykhin.
Keywords: Fréchet groups; Omega-hitting families; Iterated forcing
MSC: 03E35; 54E35; 54H11; 03E75; 22A05; 54A20
Journal: Advances in Mathematics
ISSN: 1090-2082
Year: 2014
Volume: 262
Pages: 193-212
Revision: 1
Created Created: 2014-06-27 10:16:31
Modified Modified: 2015-11-04 16:17:32
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