Heine–Cantor theorem

en.wikipedia.org · 1,480 words · saved by 1 readers

In mathematics, the Heine–Cantor theorem states that a continuous function between two metric spaces is uniformly continuous if its domain is compact.

Heine–Cantor theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Mathematical theorem Not to be confused with Cantor's theorem . This article includes a list of references , related reading , or external links , but its sources remain unclear because it lacks inline citations . Please help improve this article by introducing more precise citations. ( April 2019 ) ( Learn how and when to remove this message ) In mathematics , the Heine–Cantor theorem states that a continuous function between two metric spaces is uniformly continuous if its domain is compact . The theorem i