Dictionary.com

Heine-Borel theorem

[ hahy-nuh-baw-rel, -buh- ]
/ ˈhaɪ nə bɔˈrɛl, -bə- /
Save This Word!

noun Mathematics.
the theorem that in a metric space every covering consisting of open sets that covers a closed and compact set has a finite collection of subsets that covers the given set.
QUIZ
QUIZ YOURSELF ON "IS" VS. "ARE"
"Is" it time for a new quiz? "Are" you ready? Then prove your excellent skills on using "is" vs. "are."
Question 1 of 7
IS and ARE are both forms of which verb?
Also called Borel-Lebesque theorem.

Origin of Heine-Borel theorem

Named after Eduard Heine (1821–81), German mathematician and Émile Borel (1871–1956), French mathematician
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

How to use Heine-Borel theorem in a sentence

FEEDBACK