Editing Locally constant function (section)

{{Short description|Type of mathematical function}}
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{{redirect|Locally constant|the sheaf-theoretic term|locally constant sheaf}}
[[File:Example of a locally 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 '''locally constant function''' is a [[Function (mathematics)|function]] from a [[topological space]] into a [[Set (mathematics)|set]] with the property that around every point of its domain, there exists some [[Neighborhood (topology)|neighborhood]] of that point on which it [[Restriction of a function|restricts]] to a [[constant function]].