Baire category

См. также в других словарях:

• Baire category theorem — The Baire category theorem is an important tool in general topology and functional analysis. The theorem has two forms, each of which gives sufficient conditions for a topological space to be a Baire space. Statement of the theorem *(BCT1) Every… …   Wikipedia

• 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

• Category — may refer to: *Category (philosophy) *taxonomic category Taxonomic rank *Category (grammar) *Category (mathematics) * Categories (Aristotle) *Category (Kant) *Categories (Stoic) *Categories (game), a game involving naming categories of things… …   Wikipedia

• Baire'scher Kategoriensatz — Der Satz von Baire, auch als bairescher Kategoriensatz bezeichnet, gilt für eine Vielzahl topologischer Räume, die in verschiedenen Teilgebieten der Mathematik, wie der Maßtheorie und der Funktionalanalysis verwendet werden. In seiner klassischen …   Deutsch Wikipedia

• René-Louis Baire — (January 21 1874 ndash; July 5 1932), was a French mathematician. He was born in Paris, France and died in Chambéry, France.Dogged by ill health, and spending time alternating between low level teaching in lycées and work in universities, he was… …   Wikipedia

• Satz von Baire — Der Satz von Baire, auch als bairescher Kategoriensatz bezeichnet, gilt für eine Vielzahl topologischer Räume, die in verschiedenen Teilgebieten der Mathematik, wie der Maßtheorie und der Funktionalanalysis verwendet werden. In seiner klassischen …   Deutsch Wikipedia

• Kategoriensatz von Baire — Der Satz von Baire, auch als bairescher Kategoriensatz bezeichnet, gilt für eine Vielzahl topologischer Räume, die in verschiedenen Teilgebieten der Mathematik, wie der Maßtheorie und der Funktionalanalysis verwendet werden. In seiner klassischen …   Deutsch Wikipedia

• Meagre set — In the mathematical fields of general topology and descriptive set theory, a meagre set (also called a meager set or a set of first category) is a set that, considered as a subset of a (usually larger) topological space, is in a precise sense… …   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

• Uniform boundedness principle — In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones… …   Wikipedia

• List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia