On Compactness and Sequential Compactness

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1976Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 54, page 401 (issn: 0002-9939,

Copyright policy )

Authors: Levine, Norman;

doi: 10.2307/2040828 , 10.1090/s0002-9939-1976-0405357-x

On Compactness and Sequential Compactness

- Summary
- Subjects
- Metrics

Abstract

Let X X be a compact space of cardinality less than or equal to ℵ 1 {\aleph _1} . It is shown that X X is sequentially compact.

Keywords

Compactness, Cardinality properties (cardinal functions and inequalities, discrete subsets)

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).	2
	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

2

Average

bronze

Fields of Science

Fields of Science