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Encyclopedia of Compactness Wiki*
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starcompact 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:
*Definition 1 [#s32c48c2]
A space X is said to be starcompat if for every open cover U of X , there exists a finite subset B of X such that &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20St%28B%2c%5cmathcal%7bU%7d%29=X%5c%20%5ctext%7b%2c%20wh
*Definition 2 [#s3a968bd]
Same as [[1 1/2-starcompact]].
*Property [#xaef7743]
-Every [[countably compact]] space is starcompact.
*Reference [#b44a5d1c]
-Song, Yan-Kui(PRC-NJN-IMM),''Remarks on K-starcompact spaces. (English summary)'',commun. Korean Math. Soc. 22 (2007), no. 4, 569--573.
-Song, Yan-Kui(J-SHIZS), ''Countable star-covering properties. (English summary) Research in general and geometric topology (Japanese) (Kyoto, 1999)'', Sūrikaisekikenkyūsho Kōkyūroku No. 1126 (2000), 79--87.
終了行:
*Definition 1 [#s32c48c2]
A space X is said to be starcompat if for every open cover U of X , there exists a finite subset B of X such that &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20St%28B%2c%5cmathcal%7bU%7d%29=X%5c%20%5ctext%7b%2c%20wh
*Definition 2 [#s3a968bd]
Same as [[1 1/2-starcompact]].
*Property [#xaef7743]
-Every [[countably compact]] space is starcompact.
*Reference [#b44a5d1c]
-Song, Yan-Kui(PRC-NJN-IMM),''Remarks on K-starcompact spaces. (English summary)'',commun. Korean Math. Soc. 22 (2007), no. 4, 569--573.
-Song, Yan-Kui(J-SHIZS), ''Countable star-covering properties. (English summary) Research in general and geometric topology (Japanese) (Kyoto, 1999)'', Sūrikaisekikenkyūsho Kōkyūroku No. 1126 (2000), 79--87.
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