universally measurable subset

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• Universally measurable set — In mathematics, a subset A of a Polish space X is universally measurable if it is measurable with respect to every complete probability measure on X that measures all Borel subsets of X. In particular, a universally measurable set of reals is… …   Wikipedia

• 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

• Determinacy — Determined redirects here. For the 2005 heavy metal song, see Determined (song). For other uses, see Indeterminacy (disambiguation). In set theory, a branch of mathematics, determinacy is the study of under what circumstances one or the other… …   Wikipedia

• Hitting time — In the study of stochastic processes in mathematics, a hitting time (or first hit time) is a particular instance of a stopping time, the first time at which a given process hits a given subset of the state space. Exit times and return times are… …   Wikipedia

• List of mathematical logic topics — Clicking on related changes shows a list of most recent edits of articles to which this page links. This page links to itself in order that recent changes to this page will also be included in related changes. This is a list of mathematical logic …   Wikipedia

• Analytic set — This article is about analytic sets as defined in descriptive set theory. There is another notion in the context of analytic varieties. In descriptive set theory, a subset of a Polish space X is an analytic set if it is a continuous image of a… …   Wikipedia

• Equidistribution theorem — In mathematics, the equidistribution theorem is the statement that the sequence : a , 2 a , 3 a , ... mod 1 is uniformly distributed on the unit interval, when a is an irrational number. It is a special case of the ergodic theorem.clarify… …   Wikipedia

• List of set theory topics — Logic portal Set theory portal …   Wikipedia

• Suslin set — The concept of a Suslin set was first used by Mikhail Yakovlevich Suslin when he was researching the properties of projections of Borel sets in R^2 onto the real axis. Lebesgue believed he had proved that such a projection was also a Borel set,… …   Wikipedia

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• Information theory — Not to be confused with Information science. Information theory is a branch of applied mathematics and electrical engineering involving the quantification of information. Information theory was developed by Claude E. Shannon to find fundamental… …   Wikipedia