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Encyclopedia of Compactness Wiki*
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pointwise star-orthocompact
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pointwise star-orthocompact をテンプレートにして作成
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*Definition [#z257752c]
A topological space X is called pointwise star-orthocompact if for every open cover &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cmathcal%7bU%7d$%7d%25.png); of
X, there exists an open Q-collection &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cmathcal%7bV%7d=%5c%7bV_x:x%5cin%20X%5c%7d$%7d%25.png); such that &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$x%5cin%20
Here, a collection U of open subsets is called Q-collection if for every subcollection V of U, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5ccap%5cmathcal%7bV%7d$%7d%25.png); is open.
*Reference [#uf23a52f]
-Gary Gruenhage, ''On closed images of orthocompact spaces'', Proc. Amer. Math. Soc. Vol.77, No.3, pp.389-394 (1979)
終了行:
*Definition [#z257752c]
A topological space X is called pointwise star-orthocompact if for every open cover &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cmathcal%7bU%7d$%7d%25.png); of
X, there exists an open Q-collection &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5cmathcal%7bV%7d=%5c%7bV_x:x%5cin%20X%5c%7d$%7d%25.png); such that &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$x%5cin%20
Here, a collection U of open subsets is called Q-collection if for every subcollection V of U, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5ccap%5cmathcal%7bV%7d$%7d%25.png); is open.
*Reference [#uf23a52f]
-Gary Gruenhage, ''On closed images of orthocompact spaces'', Proc. Amer. Math. Soc. Vol.77, No.3, pp.389-394 (1979)
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