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03/16/2010

Topological Property

Topological Property.
Topological Property

A property P is said to be a topological property if whenever a space X has the property P, all spaces which are homeomorphic to X also have the property P.
Mar 16, 2010 8:07:13 AM
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Homeomorphism Homeomorphism. Homeomorphism A function function from X to Y is said to be homeomorphism (topological mapping) if and only if the following conditions are satisfied.
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Product Topology Product Topology. Product Topology Let X1 x X2 be the product of topological spaces X1 and X2. The coarsest topology T on X1 x X2 with respect to which the projection maps is said to be product topology.

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