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Encyclopedia of Compactness Wiki*
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Aleph_1-compact をテンプレートにして作成
これらのキーワードがハイライトされています:
開始行:
*Name [#e5663011]
&ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5caleph%20_1$%7d%25.png);-compact
*Definition [#l80f9b9f]
Every uncountable set has a limit point.
*Definition 2? [#y1ecf32f]
A space X is &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5caleph%20_1$%7d%25.png);-compact if every closed discrete subset of X is countable.
*Reference [#s26227f7]
:Definition| R. W. Heath, ''Separability and \aleph_1 compactness'', Colloq. Math. 12 (1964) 11-14. [#ua6ab39c]
Lynn Arthur Steen and J. Arthur Seebach, Jr. ''Counterexamples in Topology'', Dover.
:Definition 2| Gale, Sherry L. , ''Measure-compact spaces.'' ,[J] Topology Appl. 45, No.2, 103-118 (1992).
終了行:
*Name [#e5663011]
&ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5caleph%20_1$%7d%25.png);-compact
*Definition [#l80f9b9f]
Every uncountable set has a limit point.
*Definition 2? [#y1ecf32f]
A space X is &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5caleph%20_1$%7d%25.png);-compact if every closed discrete subset of X is countable.
*Reference [#s26227f7]
:Definition| R. W. Heath, ''Separability and \aleph_1 compactness'', Colloq. Math. 12 (1964) 11-14. [#ua6ab39c]
Lynn Arthur Steen and J. Arthur Seebach, Jr. ''Counterexamples in Topology'', Dover.
:Definition 2| Gale, Sherry L. , ''Measure-compact spaces.'' ,[J] Topology Appl. 45, No.2, 103-118 (1992).
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