- measure space
-
A measurable space which has a positive measure defined on its σ-algebra.
Wikipedia foundation.
Wikipedia foundation.
Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… … Wikipedia
Measure (mathematics) — Informally, a measure has the property of being monotone in the sense that if A is a subset of B, the measure of A is less than or equal to the measure of B. Furthermore, the measure of the empty set is required to be 0. In mathematical analysis … Wikipedia
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measure — meas ure (m[e^]zh [ u]r; 135), n. [OE. mesure, F. mesure, L. mensura, fr. metiri, mensus, to measure; akin to metrum poetical measure, Gr. me tron, E. meter. Cf. {Immense}, {Mensuration}, {Mete} to measure.] 1. A standard of dimension; a fixed… … The Collaborative International Dictionary of English