ALL meanings of heine-borel theorem
Hei·ne-Bo·rel the·orem
H h - 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