The descriptive set theory of Polish group actions /

In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as g...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Becker, Howard
Otros Autores: Kechris, A. S., 1946-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Cambridge University Press, 1996.
Colección:London Mathematical Society lecture note series ; 232.
Temas:
Polish spaces (Mathematics)
Set theory.
Espaces polonais (Mathématiques)
Théorie des ensembles.
MATHEMATICS > Topology.
Set theory
Verzamelingen (wiskunde)
Lokaal compacte groepen.
Espaces polonais.
Ensembles, Théorie des.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 3.4 The Glimm-Effros Dichotomy3.5 Universal equivalence relations; 4. INVARIANT MEASURES AND PARADOXICAL DECOMPOSITIONS; 4.1 Tarski's Theorem; 4.2 Countable decompositions; 4.3 Nadkarni's Theorem; 4.4 Proof of 4.2.1; 4.5 Sketch of proof of Nadkarni's Theorem; 4.6 Concluding remarks and problems; 5. BETTER TOPOLOGIES; 5.1 Finer topologies and Borel sets; 5.2 Topological realization of Borel G-spaces; 5.3 Topological realization of definable G-spaces; 5.4 Finer topologies on G-spaces; 6. MODEL THEORY AND THE VAUGHT CONJECTURE; 6.1 Background on the Vaught Conjecture
  • 6.2 The Topological Vaught Conjecture6.3 Atomic models; 7. ACTIONS WITH BOREL ORBIT EQUIVALENCE RELATIONS; 7.1 Characterizations; 7.2 Some effective considerations; 7.3 Decompositions; 7.4 Tame groups; 7.5 Normalizers; 8. DEFINABLE CARDINALITY; 8.1 Orbit cardinality; 8.2 Orbit cardinality for specific groups; References; Index

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