Constant function: Difference between revisions

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In a connected set, the function is locally constant if and only if it is constant.; right?
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* Every constant function whose [[___domain]] and [[codomain]] are the same is [[idempotent]].
* Every constant function between [[topological space]]s is [[continuous function (topology)|continuous]].
 
In a [[connected set]], the function is [[locally constant]] if and only if it is constant.
 
==References==