Lebesgue number

Lebesgue number

[lə′beg ‚nəm·bər]
(mathematics)
The Lebesgue number of an open cover of a compact metric space X is a positive real number so that any subset of X whose diameter is less than this number must be completely contained in a member of the cover.
References in periodicals archive ?
1 If [OMEGA] is bounded, then (v) follows from (ii) by the Lebesgue number lemma.