Locally constant function: Difference between revisions

Revision as of 12:50, 18 February 2022

Revision as of 16:14, 1 March 2023

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{{Short description|Type of mathematical function}}

{{Unreferenced|date=December 2009}}

[[File:Example of a locally constant function with sgn(x).svg|thumb|The [[Signumsignum 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]].