Pseudocompact groups without converging sequences

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 37, pages 59-62 (issn: 0001-4346, eissn: 1573-8876,

Copyright policy )

Authors: Malykhin, V. I.; Shapiro, L. B.;

doi: 10.1007/bf01652517

Pseudocompact groups without converging sequences

- Summary
- Subjects
- Metrics

Abstract

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.

Keywords

Structure of general topological groups, GCH, convergent sequence, Consistency and independence results, independent of ZFC, pseudocompact group

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	8
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

8

Average

Fields of Science

Fields of Science

Upload OA version

Are you the author of this publication? Upload your Open Access version to Zenodo!

It’s fast and easy, just two clicks!

uploadUpload now