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pre-Urysohn

Last-modified: 2012-09-17 (月) 22:40:42

Definition Edit

A topological space (X, τ) is called pre-Urysohn if for every pair of points x, y ∈ X, 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 imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cmbox%7b%5crm%20p-cl%7d%28U%29%5ccap%20%5cmbox%7b%5crm%20p-cl%7d%28V%29=%5cemptyset%20%5c%5d%7d%25.png.

Property Edit

Reference Edit

  • Paul Ramprasad, Bhattacharyya P., On pre-Urysohn spaces. (English summary), Bull. Malaysian Math. Soc. (2) 22 (1999), no. 1, 23–34.