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weakly mildly Hausdorff
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weakly mildly Hausdorff をテンプレートにして作成
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開始行:
*Definition [#ea0656eb]
-A topological space (X,τ) is called weakly mildly Hausdorff if its [[semiregularization]] is [[R_0]].
*Property [#a1263f17]
-Every [[extremally disconnected space]] is weakly mildly Hausdorff space.
-Every weakly mildly Hausdorff and [[locally rc-paracompact]] space is [[extremally disconnected]].
*Example [#o48d5b15]
-The [[Sierpinsky space]] is weakly mildly Hausdorff.
*Reference [#ade573ce]
-Dontchev, J.; Popvassilev, S.; Stavrova, D., ''On the η-expansion topology for the co-semi-regularization and mildly Hausdorff spaces.'', (English summary), Acta Math. Hungar. 80 (1998), no. 1-2, 9-19.
終了行:
*Definition [#ea0656eb]
-A topological space (X,τ) is called weakly mildly Hausdorff if its [[semiregularization]] is [[R_0]].
*Property [#a1263f17]
-Every [[extremally disconnected space]] is weakly mildly Hausdorff space.
-Every weakly mildly Hausdorff and [[locally rc-paracompact]] space is [[extremally disconnected]].
*Example [#o48d5b15]
-The [[Sierpinsky space]] is weakly mildly Hausdorff.
*Reference [#ade573ce]
-Dontchev, J.; Popvassilev, S.; Stavrova, D., ''On the η-expansion topology for the co-semi-regularization and mildly Hausdorff spaces.'', (English summary), Acta Math. Hungar. 80 (1998), no. 1-2, 9-19.
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