A countable Fréchet-Urysohn space of uncountable character
type: Item
instance of: scholarly article
title: A countable Fréchet-Urysohn space of uncountable character
zbMATH Open document ID: 1145.54019
author: Petr Simon
published in: Topology and its Applications
publication date: 2008-06-19T00:00:00Z
review text: The author constructs an infinite strong completely separable almost disjoint family on \(\omega\) and, by means of that, a countable Fréchet-Urysohn \(\alpha_4\) but not \(\alpha_3\) space all finite powers of which are Fréchet-Urysohn.
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54D55
Mathematics Subject Classification ID: 54D80
Mathematics Subject Classification ID: 54G20
Mathematics Subject Classification ID: 03E05
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 5290943
zbMATH Keywords: \(\alpha_3\)-space
zbMATH Keywords: \(\alpha_4\)-space
zbMATH Keywords: Fréchet-Urysohn space (for finite sets, for bounded sets)
zbMATH Keywords: bisequential space
zbMATH Keywords: (strong completely separable) almost disjoint family
MaRDI profile type: Publication
full work available at URL: j.topol.2008.02.001
OpenAlex ID: W1989537007
cites work: Q3928648
cites work: Countable Fréchet \(\alpha_ 1\)-spaces may be first countable
cites work: A Čech function in ZFC
cites work: Q3270120
cites work: Fréchet--Urysohn for finite sets
cites work: Classifying almost-disjoint families with applications to \(\beta N-N\)
cites work: Set theory. An introduction to independence proofs
DOI: 10.1016/J.TOPOL.2008.02.001
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description: scientific article; zbMATH DE number 5290943