Source: wikibot/continuous-function-set-theory
= Continuous function (set theory)
{wiki=Continuous_function_(set_theory)}
In set theory and topology, a **continuous function** (or continuous mapping) is a key concept that describes a function that preserves the notion of closeness or neighborhood in a topological space. More formally, a function between two topological spaces is continuous if the preimage of every open set is open in the domain's topology.