Talk:Proximity space

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[edit] Textbooks

Note: several textbooks (Willard, Engelking, Thron) discuss proximity spaces. I can't remember if Dugundji does.--192.35.35.36 21:02, 24 Feb 2005 (UTC)

[edit] Proximity Spaces

The proximity introduced (actually rediscovered) by Efrimivic on a set X, generates a completely regupar topology on it. There are a number of classes of proximities, e.g., basic proximity, Lodato proximity etc. Basic proximity generates a closure operator, Lodato proximity generates T_1 topology. Proximities are also studies through grill operators. Ref Thron, W. J., Proximity structures and grills.

AFAIK, nearness space is the same as proximity space. Need to say this in the article. —Preceding unsigned comment added by Porton (talk • contribs) 13:03, 6 November 2007 (UTC)

[edit] Applications

I think all researchers know the definition of proximity spaces and fuzzy proximity spaces. But the thing we need to know the applications of the proximity in other branches of sciences. I hope any one know the application give us it.

Prof. Abd El-Nasser G. Abd El-Rahman41.232.176.105 (talk) 19:22, 23 March 2008 (UTC)