Talk:Proximity space
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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.