stationary subset

stationary subset
мат. стационарное подмножество

Большой англо-русский и русско-английский словарь. 2001.

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  • Stationary set — In mathematics, particularly in set theory and model theory, there are at least three notions of stationary set:Classical notionIf kappa is a cardinal of uncountable cofinality, Csubseteqkappa, and C intersects every club in kappa, then C is… …   Wikipedia

  • Fermat's theorem (stationary points) — Fermat s theorem is a theorem in real analysis, named after Pierre de Fermat. It gives a method to find local maxima and minima of differentiable functions by showing that every local extremum of the function is a stationary point (the function… …   Wikipedia

  • List of forcing notions — In mathematics, forcing is a method of constructing new models M[G] of set theory by adding a generic subset G of a poset P to a model M. The poset P used will determine what statements hold in the new universe (the extension ); to force a… …   Wikipedia

  • Martin's maximum — In set theory, Martin s maximum, introduced by Foreman, Magidor Shelah (1988), is a generalization of the proper forcing axiom, which is in turn a generalization of Martin s axiom. Martin s maximum (MM) states that if D is a collection of dense… …   Wikipedia

  • Ineffable cardinal — In mathematics, an ineffable cardinal is a certain kind of large cardinal number.Formally, a cardinal number κ is ineffable if and only if for every f: κ 2 → {0, 1}, there is a stationary subset of κ that is homogeneous for f. κ is n ineffable… …   Wikipedia

  • Fodor's lemma — In mathematics, particularly in set theory, Fodor s lemma states the following:If kappa is a regular, uncountable cardinal, S is a stationary subset of kappa, and f:kappa ightarrowkappa is regressive on S (that is, f(alpha)f(alp …   Wikipedia

  • Reflecting cardinal — In set theory, a mathematical discipline, a reflecting cardinal is a cardinal number kappa; for which there is a normal ideal I on kappa; such that for every X isin; I +, the set of α isin; kappa; for which X reflects at α is in I +. (A… …   Wikipedia

  • probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

  • Ordinal number — This article is about the mathematical concept. For number words denoting a position in a sequence ( first , second , third , etc.), see Ordinal number (linguistics). Representation of the ordinal numbers up to ωω. Each turn of the spiral… …   Wikipedia

  • Point process — In statistics and probability theory, a point process is a type of random process for which any one realisation consists of a set of isolated points either in time or geographical space, or in even more general spaces. For example, the occurrence …   Wikipedia

  • Banach–Mazur game — In general topology, set theory and game theory, a Banach–Mazur game is a topological game played by two players, trying to pin down elements in a set (space). The concept of a Banach–Mazur game is closely related to the concept of Baire spaces.… …   Wikipedia


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