- uncountable subset
- мат. несчетное подмножество
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
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
uncountable — 1. noun An uncountable noun. 2. adjective a) So many as to be incapable of being counted. The reasons for our failure were as uncountable as the grains of sand on a beach. b) Incapable of being put into one to one … Wiktionary
Luzin set — In real analysis and descriptive set theory, a Luzin set (or Lusin set), named for N. N. Luzin, is an uncountable subset A of the reals such that every uncountable subset of A is nonmeager; that is, of second Baire category. Equivalently, A is an … Wikipedia
Well-order — In mathematics, a well order relation (or well ordering) on a set S is a total order on S with the property that every non empty subset of S has a least element in this ordering.Equivalently, a well ordering is a well founded total order.The set… … Wikipedia
Axiom of choice — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of … Wikipedia
Non-measurable set — This page gives a general overview of the concept of non measurable sets. For a precise definition of measure, see Measure (mathematics). For various constructions of non measurable sets, see Vitali set, Hausdorff paradox, and Banach–Tarski… … Wikipedia
Lusin space — In mathematics, a Lusin space or Luzin space, named for N. N. Luzin, may mean: *A Lusin space in measure theory and probability, the image of a Polish space under a bijective continuous map. (Some authors add the condition that it should be… … Wikipedia
Aronszajn line — An Aronszajn line is a linear ordering of cardinality aleph 1which contains no subset order isomorphic to * omega 1, with the usual ordering * the reverse of omega 1, * an uncountable subset of the Real numbers with the usual orderingUnlike… … Wikipedia
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
Countable set — Countable redirects here. For the linguistic concept, see Count noun. Not to be confused with (recursively) enumerable sets. In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of… … Wikipedia
Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… … Wikipedia