Continuous Map (original) (raw)
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 
is continuous iff the preimage of any open set is open.
See also
This entry contributed by John Renze
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Renze, John. "Continuous Map." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ContinuousMap.html