Viewing topic: Lebesgue Number

See sub-topics for Lebesgue Number ... >> Mathematics >> Field Of Topology >> Lebesgue Number

Highest Rated Sign

No video has been submitted for this term

Nobody has posted a sign yet.

Lebesgue Number

  • Definition: Let A be an open covering of the metric space (X, d). If X is compact, there is y > 0 such that for each subset of X having diameter less than y, there exists an element of A containing it. The number y is called a Lebesgue number for the covering A.

    Source: Topology (second edition) by James R. Munkres

  • There are no comments for this topic.