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Palabra: COUNTABLE SET (Palabras)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Mill , Jan van
Título: Analytic groups and pushing small sets apart
Páginas/Colación: pp. 5417-5434.
Fecha: October 2009
Transactions of the American Mathematical Society Vol. 361, no.10 October 2009
Información de existenciaInformación de existencia

Palabras Claves: Palabras: ANALYTIC GROUP ANALYTIC GROUP, Palabras: COUNTABLE SET COUNTABLE SET, Palabras: MEAGER SET MEAGER SET, Palabras: POLISH SPACE POLISH SPACE

Resumen
First cohomology groups of finite groups with nontrivial irreducible coefficients have been useful in several geometric and arithmetic contexts, including Wiles's famous paper (1995)

We say that a space $ X$has the separation property provided that if $ A$and $ B$are subsets of $ X$with $ A$countable and $ B$first category, then there is a homeomorphism $ f\colon X\to X$such that $ f(A)\cap B=\emptyset$. We prove that a Borel space with this property is Polish. Our main result is that if the homeomorphisms needed in the separation property for the space $ X$come from the homeomorphisms given by an action of an analytic group, then $ X$is Polish. Several examples are also presented.

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: M. McClendon, David
Título: Continuity of conditional measures associated to measure-preserving semiflows
Páginas/Colación: pp. 331-341
Fecha: January 2009
Transactions of the American Mathematical Society Vol. 361, no. 1 January 2009
Información de existenciaInformación de existencia

Palabras Claves: Palabras: MEASURE-PRESERVING SEMIFLOWS MEASURE-PRESERVING SEMIFLOWS

Resumen
It is proved herein that any absolute minimizer for a suitable Hamiltonian is a viscosity solution of the Aronsson equation:

Let $ X$be a standard probability space and $ T_t$a measure-preserving semiflow on $ X$. We show that there exists a set $ X_0$of full measure in $ X$such that for any $ x \in X_0$and $ t \geq 0$there are measures $ \mu_{x,t}^+$and $ \mu_{x,t}^-$which for all but a countable number of $ t$give a distribution on the set of points $ y$such that $ T_t(y) = T_t(x)$. These measures arise by taking weak$ ^*-$limits of suitable conditional expectations. Say that a point $ x$has a measurable orbit discontinuity at time $ t_0$if either $ \mu_{x,t}^+$or $ \mu_{x,t}^-$is weak$ ^*-$discontinuous in $ t$at $ t_0$. We show that there exists an invariant set of full measure in $ X$such that any point in this set has at most countably many measurable orbit discontinuities. Furthermore we show that if $ x$has a measurable orbit discontinuity at time 0, then $ x$has an orbit discontinuity at time 0 in the sense of Orbit discontinuities and topological models for Bordel

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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