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Further examples include the following:
* Given a [[covering map]] <math>p : C \to X,</math> then to each point <math>x \in X</math> we can assign the [[cardinality]] of the [[Fiber (mathematics)|fiber]] <math>p^{-1}(x)</math> over <math>x</math>; this assignment is locally constant.
* A map from a topological space <math>A</math> to a [[discrete space]] <math>B</math> is [[Continuous function (topology)|continuous]] if and only if it is locally constant.
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