Notes on forcing axioms /

In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the open mapping theorem or the Banach-Steinhaus boundedne...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Todorcevic, Stevo (Autor)
Otros Autores: Chong, C.-T. (Chi-Tat), 1949- (Editor ), Feng, Qi, 1955- (Editor ), Yang, Yue, 1964- (Editor ), Slaman, T. A. (Theodore Allen), 1954- (Editor ), Woodin, W. H. (W. Hugh) (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Hackensack] New Jersey : World Scientific, [2014]
Colección:Lecture notes series (National University of Singapore. Institute for Mathematical Sciences) ; v. 26.
Temas:
Forcing (Model theory)
Axioms.
Baire classes.
Forcing (Théorie des modèles)
Axiomes.
Classes de Baire.
MATHEMATICS > General.
maxims.
aphorisms.
proverbs.
Sayings.
Proverbes.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Baire category theorem and the Baire category numbers
  • 2. Coding sets by the real numbers
  • 3. Consequences in descriptive set theory
  • 4. Consequences in measure theory
  • 5. Variations on the Souslin hypothesis
  • 6. The S-s-paces and the L-spaces
  • 7. The side-condition method
  • 8. Ideal dichotomies
  • 9. Coherent and Lipschitz trees
  • 10. Applications to the S-space problem and the von Neumann problem
  • 11. Biorthogonal systems
  • 12. Structure of compact spaces
  • 13. Ramsey theory on ordinals
  • 14. Five cofinal types
  • 15. Five linear orderings
  • 16. Cardinal arithmetic and mm
  • 17. Reflection principles.

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