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Continuous Map


A continuous map is a continuous function between two topological spaces. In some fields of mathematics, the term "function" is reserved for functions which are into the real or complex numbers. The word "map" is then used for more general objects.

A map F:X->Y is continuous iff the preimage of any open set is open.


See also

Continuous Function

This entry contributed by John Renze

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Cite this as:

Renze, John. "Continuous Map." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ContinuousMap.html

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