- Baire class
- класс m Бэра
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Baire class
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Baire function — In mathematics, Baire functions refer to certain sets of functions. They are studied in several fields of mathematics, including real analysis and topology.Baire functions of class n , for any ordinal number n , are a set of real valued functions … Wikipedia
Baire one star function — is a term from real analysis. A function f: mathbb{R} o mathbb{R} is in class Baire* one, written f in mathbf{B}^{*} {1}, and is called a Baire one star function, if for each perfect set P in mathbb{R}, there is an open interval I in mathbb{R},… … Wikipedia
Baire, René-Louis — ▪ French mathematician born January 21, 1874, Paris, France died July 5, 1932, Chambéry French mathematician whose study of irrational numbers (irrational number) and the concept of continuity of functions that approximate them greatly… … Universalium
Baire space — In mathematics, a Baire space is a topological space which, intuitively speaking, is very large and has enough points for certain limit processes. It is named in honor of René Louis Baire who introduced the concept. Motivation In an arbitrary… … Wikipedia
Nowhere continuous function — In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere… … Wikipedia
Split interval — In topology, the split interval is a space that results from splitting each point in a closed interval into two adjacent points. It may be defined as the lexicographic product [0, 1] × {0, 1} with the order topology. It is also known as the… … Wikipedia
Descriptive set theory — In mathematical logic, descriptive set theory is the study of certain classes of well behaved subsets of the real line and other Polish spaces. As well as being one of the primary areas of research in set theory, it has applications to other… … Wikipedia
Wadge hierarchy — In descriptive set theory, Wadge degrees are levels of complexity for sets of reals and more comprehensively, subsets of any given topological space. Sets are compared by continuous reductions. The Wadge hierarchy is the structure of Wadge… … Wikipedia
Analytical hierarchy — In mathematical logic and descriptive set theory, the analytical hierarchy is a higher type analogue of the arithmetical hierarchy. It thus continues the classification of sets by the formulas that define them. The analytical hierarchy of… … 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
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
