separated subset

См. также в других словарях:

• Separated sets — In topology and related branches of mathematics, separated sets are pairs of subsets of a given topological space that are related to each other in a certain way.The notion of when two sets are separated or not is important both to the notion of… …   Wikipedia

• Positively separated sets — In mathematics, two non empty subsets A and B of a given metric space ( X , d ) are said to be positively separated if the infimum:inf {a in A, b in B} d(a, b)is strictly positive. (Some authors also specify that A and B should be disjoint sets;… …   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

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• Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

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• Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …   Wikipedia

• Sheaf (mathematics) — This article is about sheaves on topological spaces. For sheaves on a site see Grothendieck topology and Topos. In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.… …   Wikipedia

• Hausdorff space — In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space …   Wikipedia

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