NDLI: An Example of a Space Which is Countably Compact Whose Square is Countably Paracompact But Not Countably Compact

Content Provider	Scilit
Author	Parsons, Lee
Copyright Year	1977
Description	A subspace P of is obtained whose square is disjoint from the graph, G, of a pre-selected homeomorphism that has no fixed points. The construction is performed in such a way that, for , all countable subsets of will have a limit point in . We use the following lemma: If is countably infinite, then .
Related Links	http://www.ams.org/journals/proc/1977-065-02/S0002-9939-1977-0451218-0/S0002-9939-1977-0451218-0.pdf
Ending Page	354
Page Count	4
Starting Page	351
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2041921
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	65
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Space Countably Compact Countably Paracompact Example Square Is Countably Compact Whose Square
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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An Example of a Space Which is Countably Compact Whose Square is Countably Paracompact But Not Countably Compact