# measurable space

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**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**Measurable function**— In mathematics, particularly in measure theory, measurable functions are structure preserving functions between measurable spaces; as such, they form a natural context for the theory of integration. Specifically, a function between measurable… … Wikipedia**measurable function**— noun a) Any well behaved function of real numbers between measurable spaces. b) If a functions codomain is a topological space and the functions domain is a measurable space, then the function is measurable if the inv … Wiktionary**space**— 1. noun /speɪs/ a) The intervening contents of a volume. If it be only a Single Letter or two that drops, he thruſts the end of his Bodkin between every Letter of that Word, till he comes to a Space: and then perhaps by forcing thoſe Letters… … Wiktionary**measurable set**— noun A subset of a given measurable space which is a member of the σ algebra of that space … Wiktionary**Space warfare**— is combat that takes place in outer space, i.e. outside the atmosphere. Technically, as a distinct classificationFact|date=August 2008, it refers to battles where the targets themselves are in space. Space warfare therefore includes ground to… … Wikipedia**Measurable Riemann mapping theorem**— In the mathematical theory of quasiconformal mappings in two dimensions, the measurable Riemann mapping theorem, proved by Morrey (1936, 1938), generalizes the Riemann mapping theorem from conformal to quasiconformal homeomorphisms, and is… … Wikipedia**Standard probability space**— In probability theory, a standard probability space (called also Lebesgue Rokhlin probability space) is a probability space satisfying certain assumptions introduced by Vladimir Rokhlin in 1940 [1] . He showed that the unit interval endowed with… … Wikipedia**Weakly measurable function**— See also= In mathematics mdash; specifically, in functional analysis mdash; a weakly measurable function taking values in a Banach space is a function whose composition with any element of the dual space is a measurable function in the usual… … Wikipedia**Probability space**— This article is about mathematical term. For the novel, see Probability Space (novel). In probability theory, a probability space or a probability triple is a mathematical construct that models a real world process (or experiment ) consisting of… … Wikipedia