ブラウザの JavaScript がオフ(ブロックまたは許可しない)に設定されているため、このページは正常に機能しません。
Encyclopedia of Compactness Wiki*
[
ホーム
]
一覧
最終更新
バックアップ
ヘルプ
Top
>
almost precompact
>
複製
?
ms
almost precompact 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 [#bd7f334e]
A quasi-uniform space X is almost precompact provided that if U is an entourage, there is a finite subset F of X such that X = cl(U[F]).
*Property [#xc11dd3f]
-A quasi-uniform space is almost precompact iff every open ultrafilter on X is a [[Cauchy filter]].
-A Hausdorff space X is [[almost-compact]] iff every compatible quasi-uniformity for X is [[almost complete]] and almost precompact.
-(The Generalized Niemytzki-Tychonoff theorem) A Hausdorff space is [[almost-compact]] iff it is [[almost complete]] with respect to every compatible quasi-uniformity.
-Let &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%28X%2c%5cmathcal%7bU%7d%29$%7d%25.png); be an almost precompact quasi-uniform space and let &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%28X%5e*%2c%5cma
*Remark [#h3bf6823]
-See [[almost-compact]].
*Reference [#p5c66ab5]
P. Fletcher and S. Naimpally, ''On almost complete and almost precompact quasi-uniform spaces'', Czechoslovak Math. J., Vol.21 (1971), No.3, pp.383-390.
終了行:
*Definition [#bd7f334e]
A quasi-uniform space X is almost precompact provided that if U is an entourage, there is a finite subset F of X such that X = cl(U[F]).
*Property [#xc11dd3f]
-A quasi-uniform space is almost precompact iff every open ultrafilter on X is a [[Cauchy filter]].
-A Hausdorff space X is [[almost-compact]] iff every compatible quasi-uniformity for X is [[almost complete]] and almost precompact.
-(The Generalized Niemytzki-Tychonoff theorem) A Hausdorff space is [[almost-compact]] iff it is [[almost complete]] with respect to every compatible quasi-uniformity.
-Let &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%28X%2c%5cmathcal%7bU%7d%29$%7d%25.png); be an almost precompact quasi-uniform space and let &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%28X%5e*%2c%5cma
*Remark [#h3bf6823]
-See [[almost-compact]].
*Reference [#p5c66ab5]
P. Fletcher and S. Naimpally, ''On almost complete and almost precompact quasi-uniform spaces'', Czechoslovak Math. J., Vol.21 (1971), No.3, pp.383-390.
ページ名: