Difference between revisions of "Continuous function"
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(New page: A function f: X -> Y mapping elements in the topological space X to the topological space Y is continuous if for every open set in Y, the inverse image of Y under f is an open subs...) |
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A function f: X -> Y mapping elements in the [[topological space]] X to the 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 function f: X -> Y mapping elements in the [[topological space]] X to the 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. | ||
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Revision as of 19:26, March 20, 2007
A function f: X -> Y mapping elements in the topological space X to the 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.