Pseudocompact groups without converging sequences
type: Item
instance of: scholarly article
title: Pseudocompact groups without converging sequences
zbMATH Open document ID: 0575.22001
DOI: 10.1007/BF01652517
author: Viatcheslav I. Malykhin
author: Leonid B. Shapiro
published in: Mathematical Notes
publication date: 1985-01-01T00:00:00Z
review text: Is it true that there is a nontrivial convergent sequence of elements in any pseudocompact group of weight \(\tau <\tau^{\aleph_ 0} ?\) It is proved that the answer is independent of ZFC axioms of set theory.
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 3918691
zbMATH Keywords: GCH
zbMATH Keywords: convergent sequence
zbMATH Keywords: pseudocompact group
zbMATH Keywords: independent of ZFC
reviewed by: Igor V. Protasov
MaRDI profile type: Publication
cites work: Definable forcing axiom: An alternative to Martin's axiom
cites work: Q5686040
cites work: The Product of Two Countably Compact Topological Groups
full work available at URL: https://doi.org/10.1007/bf01652517
OpenAlex ID: W1971089289
description: scientific article; zbMATH DE number 3918691