Fréchet-Urysohn type properties in topological spaces, groups, and locally convex vector spaces
type: Item
instance of: scholarly article
title: Fréchet-Urysohn type properties in topological spaces, groups, and locally convex vector spaces
zbMATH Open document ID: 0949.54005
published in: Moscow University Mathematics Bulletin
publication date: 2000-10-31T00:00:00Z
review text: The paper deals with the following problem formulated by \textit{V. I. Malykhin} (Problem 6.11 in [\textit{P. J. Nyikos}, Convergence in topology, in ``Recent progress in general topology'', 537-570 (1992; Zbl 0794.54004)]): Does the non-metrizable separable topological Fréchet-Uryson group exist in ZFC? The authors construct examples of complete non-metrizable separable groups and locally convex vector Fréchet-Uryson spaces compatible with ZFC.
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 22A05
zbMATH DE Number: 1524057
zbMATH Keywords: separable non-metrizable group
author: Evgenii Reznichenko
author: Ol'ga Sipacheva
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1524057