PlanetMath: uniformly continuous is proximity continuous

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uniformly continuous is proximity continuous

(Theorem)

"uniformly continuous is proximity continuous" is owned by porton.

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Attachments:: proof that uniformly continuous is proximity continuous (Proof) by CWoo

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Cross-references: proximity continuous, mapping, uniformly continuous

This is version 3 of uniformly continuous is proximity continuous, born on 2007-04-17, modified 2007-04-18.
Object id is 9204, canonical name is UniformlyContinuousIsProximityContinuous.
Accessed 901 times total.

Classification:

AMS MSC:	54E05 (General topology :: Spaces with richer structures :: Proximity structures and generalizations)
	54E17 (General topology :: Spaces with richer structures :: Nearness spaces)
	54C05 (General topology :: Maps and general types of spaces defined by maps :: Continuous maps)
	54C08 (General topology :: Maps and general types of spaces defined by maps :: Weak and generalized continuity)
	54E15 (General topology :: Spaces with richer structures :: Uniform structures and generalizations)

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