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Encyclopedia of Compactness Wiki*
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c-realcompact をテンプレートにして作成
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開始行:
*Definition [#dc10508f]
Let X be a Tychonoff space. &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cbeta%20X$%7d%25.png); denotes the Stone-Cech compactification of X. X is called c-realcompact if for every &ref(http://www.eaflux.com/imgtex/imgte
*Property [#k63d2d27]
-A Tychonoff space X is c-realcompact iff for every &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$p%5cin%5cbeta%20X%5csetminus%20X$%7d%25.png);, there is a sequence of [[regular closed>regular open]] subsets of &ref(http://
*Reference [#q8e340fa]
-Nancy Dykes, ''Generalizations of Realcompact Spaces'', Pacific Journal of Mathematics Vol. 33, No. 3, 1970.
-Mary Anne Swardson and Paul J. Szeptycki, ''When X^* is a P' space'', Canad. Math. Bull. Vol. 39 (4), 1996 pp. 476-485.
終了行:
*Definition [#dc10508f]
Let X be a Tychonoff space. &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cbeta%20X$%7d%25.png); denotes the Stone-Cech compactification of X. X is called c-realcompact if for every &ref(http://www.eaflux.com/imgtex/imgte
*Property [#k63d2d27]
-A Tychonoff space X is c-realcompact iff for every &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$p%5cin%5cbeta%20X%5csetminus%20X$%7d%25.png);, there is a sequence of [[regular closed>regular open]] subsets of &ref(http://
*Reference [#q8e340fa]
-Nancy Dykes, ''Generalizations of Realcompact Spaces'', Pacific Journal of Mathematics Vol. 33, No. 3, 1970.
-Mary Anne Swardson and Paul J. Szeptycki, ''When X^* is a P' space'', Canad. Math. Bull. Vol. 39 (4), 1996 pp. 476-485.
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