Difference between revisions of "Continuous function"
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| − | A function f: X -> Y mapping elements in | + | 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. |
[[category: mathematics]] | [[category: mathematics]] | ||
Revision as of 03:47, March 21, 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.