Locally constant function: Difference between revisions

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[[File:Example of a local constant function with sgn(x).svg|thumb|The [[Signum function]] restricted to the ___domain <math>\R\setminus\{0\}</math> is locally constant.]]

In [[mathematics]], a [[function (mathematics)|function]] ''f'' from a [[topological space]] ''A'' to a [[Set (mathematics)|set]] ''B'' is called '''locally constant''', if for every ''a'' in ''A'' there exists a [[neighborhood (topology)|neighborhood]] ''U'' of ''a'', such that ''f'' is constant on ''U''.