- Borel σ-algebra
-
The smallest σ-algebra which contains the topology of a given topological space.
Wikipedia foundation.
Borel σ-algebra
Look at other dictionaries:
Borel-σ-Algebra — Die borelsche σ Algebra ist ein Begriff aus der Mathematik, der ein Scharnier zwischen den Zweigen Topologie und Maßtheorie bildet. Jeder Topologie lässt sich in eindeutiger Weise eine σ Algebra zuordnen, die man die zugehörige borelsche σ… … Deutsch Wikipedia
Borel algebra — In mathematics, the Borel algebra (or Borel sigma; algebra) on a topological space X is a sigma; algebra of subsets of X associated with the topology of X . In the mathematics literature, there are at least two nonequivalent definitions of this… … Wikipedia
Borel set — In mathematics, a Borel set is any set in a topological space that can be formed from open sets (or, equivalently, from closed sets) through the operations of countable union, countable intersection, and relative complement. Borel sets are named… … Wikipedia
Borel measure — In mathematics, the Borel algebra is the smallest sigma; algebra on the real numbers R containing the intervals, and the Borel measure is the measure on this sigma; algebra which gives to the interval [ a , b ] the measure b − a (where a < b… … Wikipedia
Álgebra de Lie — En matemática, un álgebra de Lie es la estructura algebraica que describe un conjunto de transformaciones infinitesimales. Su uso principal reside en el estudio de objetos geométricos tales como grupos de Lie y variedades diferenciables. El… … Wikipedia Español
Borel measure — noun A measure whose domain is the Borel σ algebra of a locally compact Hausdorff space … Wiktionary
Borel set — noun Any of the members of a Borel σ algebra … Wiktionary
Borel — may refer to: * Émile Borel (1871–1956), a French mathematician * Armand Borel (1923–2003), a Swiss mathematician * Jacques Borel, a French novelist * Gabriel Borel, a French aircraft designer * Borel algebra, operating on Borel sets, named after … Wikipedia
Borel hierarchy — In mathematical logic, the Borel hierarchy is a stratification of the Borel algebra generated by the open subsets of a Polish space; elements of this algebra are called Borel sets. Each Borel set is assigned a unique countable ordinal number… … Wikipedia
Borel-Algebra — Die borelsche σ Algebra ist ein Begriff aus der Mathematik, der ein Scharnier zwischen den Zweigen Topologie und Maßtheorie bildet. Jeder Topologie lässt sich in eindeutiger Weise eine σ Algebra zuordnen, die man die zugehörige borelsche σ… … Deutsch Wikipedia
