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almost countably subcompact をテンプレートにして作成
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*Definition [#fd805ece]
A quasi-regular space X (i.e. for every nonempty open subset U, there is a nonempty open subset V whose closure is contained in U) is called almost countably subcompact if there is a [[π-base]] B for open sets in X (which is called a subcom
*Property [#vaa72ebe]
-A quasi-regular space X is almost countably subcompact iff there is a [[π-base]] P such that every sequence (B_n) in P has a nonempty intersection if cl(B_{n+1}) is contained in B_n.
-Every almost countably subcompact space is Baire.
*Remark [#ha824af6]
-See [[countably subcompact]].
*Reference [#y9faebcb]
-Y. Ikeda, ''Cech-completeness and countable subcompactness'', Topology Proc. 14 (1989), 75-87.
-Leszek PiaTkiewicz and Laszlo Zsilinszky, ''On (strong) α-favorability of the Wijsman hyperspace'', Topol. Appl. 157 (2010), 2555-2561.
-Jiling Cao and Heikki J. K. Junnila, ''Amsterdam Properties of Wijsman hyperspaces'', Proc. Amer. Math. Soc. Vol.138, No.2 (2010), pp.769-776.
終了行:
*Definition [#fd805ece]
A quasi-regular space X (i.e. for every nonempty open subset U, there is a nonempty open subset V whose closure is contained in U) is called almost countably subcompact if there is a [[π-base]] B for open sets in X (which is called a subcom
*Property [#vaa72ebe]
-A quasi-regular space X is almost countably subcompact iff there is a [[π-base]] P such that every sequence (B_n) in P has a nonempty intersection if cl(B_{n+1}) is contained in B_n.
-Every almost countably subcompact space is Baire.
*Remark [#ha824af6]
-See [[countably subcompact]].
*Reference [#y9faebcb]
-Y. Ikeda, ''Cech-completeness and countable subcompactness'', Topology Proc. 14 (1989), 75-87.
-Leszek PiaTkiewicz and Laszlo Zsilinszky, ''On (strong) α-favorability of the Wijsman hyperspace'', Topol. Appl. 157 (2010), 2555-2561.
-Jiling Cao and Heikki J. K. Junnila, ''Amsterdam Properties of Wijsman hyperspaces'', Proc. Amer. Math. Soc. Vol.138, No.2 (2010), pp.769-776.
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