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Encyclopedia of Separation Axioms Wiki*
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pre-Urysohn をテンプレートにして作成
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*Definition [#h537de36]
A topological space (X, τ) is called pre-Urysohn if for every pair of points x, y ∈ X, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png); there exist U ∈ PO(x), V ∈ PO(y) such that &ref(
*Property [#s4d78c28]
- A pre-Urysohn space is [[pre-T_1]].
- A pre-Urysohn space X is [[Urysohn]] if and only if it is [[submaximal]].
- A [[p-regular]] [[T_2]]-space is pre-Urysohn.
*Reference [#p9d0c36b]
-Paul Ramprasad, Bhattacharyya P., ''On pre-Urysohn spaces''. (English summary), Bull. Malaysian Math. Soc. (2) 22 (1999), no. 1, 23–34.
終了行:
*Definition [#h537de36]
A topological space (X, τ) is called pre-Urysohn if for every pair of points x, y ∈ X, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png); there exist U ∈ PO(x), V ∈ PO(y) such that &ref(
*Property [#s4d78c28]
- A pre-Urysohn space is [[pre-T_1]].
- A pre-Urysohn space X is [[Urysohn]] if and only if it is [[submaximal]].
- A [[p-regular]] [[T_2]]-space is pre-Urysohn.
*Reference [#p9d0c36b]
-Paul Ramprasad, Bhattacharyya P., ''On pre-Urysohn spaces''. (English summary), Bull. Malaysian Math. Soc. (2) 22 (1999), no. 1, 23–34.
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