uncountable cardinal

uncountable cardinal
мат. несчетное кардинальное число

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

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  • Uncountable set — Uncountable redirects here. For the linguistic concept, see Uncountable noun. In mathematics, an uncountable set is an infinite set that contains too many elements to be countable. The uncountability of a set is closely related to its cardinal… …   Wikipedia

  • Regular cardinal — In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts.(The situation is slightly more… …   Wikipedia

  • Measurable cardinal — In mathematics, a measurable cardinal is a certain kind of large cardinal number. Contents 1 Measurable 2 Real valued measurable 3 See also 4 References …   Wikipedia

  • Weakly compact cardinal — In mathematics, a weakly compact cardinal is a certain kind of cardinal number introduced by harvtxt|Erdös|Tarski|1961; weakly compact cardinals are large cardinals, meaning that their existence can neither be proven nor disproven from the… …   Wikipedia

  • Rowbottom cardinal — In set theory, a Rowbottom cardinal (named after Frederick Rowbottom) is a certain kind of large cardinal number.An uncountable cardinal number kappa; is said to be Rowbottom if for every function f : [ kappa;] …   Wikipedia

  • Jónsson cardinal — In set theory, a Jónsson cardinal (named after Bjarni Jónsson) is a certain kind of large cardinal number.An uncountable cardinal number κ is said to be Jónsson if for every function f : [κ] …   Wikipedia

  • Supercompact cardinal — In set theory, a supercompact cardinal a type of large cardinal. They display a variety of reflection properties.Formal definitionIf lambda; is any ordinal, kappa; is lambda; supercompact means that there exists an elementary embedding j from the …   Wikipedia

  • Mahlo cardinal — In mathematics, a Mahlo cardinal is a certain kind of large cardinal number. Mahlo cardinals were first described by Paul Mahlo (1911, 1912, 1913). As with all large cardinals, none of these varieties of Mahlo cardinals can be proved to… …   Wikipedia

  • Inaccessible cardinal — In set theory, an uncountable regular cardinal number is called weakly inaccessible if it is a weak limit cardinal, and strongly inaccessible, or just inaccessible, if it is a strong limit cardinal. Some authors do not require weakly and strongly …   Wikipedia

  • Limit cardinal — In mathematics, limit cardinals are a type of cardinal number.With the cardinal successor operation defined, we can define a limit cardinal in analogy to that for limit ordinals: λ is a (weak) limit cardinal if and only if λ is neither a… …   Wikipedia

  • Von Neumann cardinal assignment — The von Neumann cardinal assignment is a cardinal assignment which uses ordinal numbers. For a well ordered set U , we define its cardinal number to be the smallest ordinal number equinumerous to U . More precisely,:|U| = mathrm{card}(U) = inf {… …   Wikipedia


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