heine-borel theorem

Hei·ne-Bo·rel the·orem

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Definitions of heine-borel theorem words

noun heine-borel theorem 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. 1
noun heine-borel theorem (analysis) A theorem which states that for any subset S of an n-dimensional Euclidean space, S is compact if and only if it is both closed and bounded. 0

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This term is known only to a narrow circle of people with rare knowledge. Only 1% of English native speakers know the meaning of this word.

According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.

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