Difference between revisions of "Continuous function"
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Revision as of 16:58, April 1, 2007
A function f: X -> Y mapping elements in a topological space X to a topological space Y is continuous if for every open set in Y, the inverse image of Y under f is an open subset of X.
A continuous function maps a convergent sequence, net, or filter to a convergent sequence, net, or filter, respectively.