Locally constant function: Difference between revisions

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Further examples include the following:
* Given a [[covering]] ''p'' : ''C'' &rarr; ''X'', then to each point ''x'' of ''X'' we can assign the [[cardinality]] of the [[fibre]] ''p''<sup>-1</sup>(''x'') over ''x''; this assignment is locally constant.
*A map from the topological space ''A'' to a [[discrete space]] ''B'' is [[continuous function (topology)|continuous]] if and only if it is locally constant.
 
==Connection with sheaf theory==