Problems and Theorems in Classical Set Theory

This is the first comprehensive collection of problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period between 1920-1970. Many problems are also related to ot...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Komjath, Peter (Autor), Totik, Vilmos (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Problem Books in Mathematics,
Temas:
Mathematical logic.
Discrete mathematics.
Mathematical Logic and Foundations.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Problems
  • Operations on sets
  • Countability
  • Equivalence
  • Continuum
  • Sets of reals and real functions
  • Ordered sets
  • Order types
  • Ordinals
  • Ordinal arithmetic
  • Cardinals
  • Partially ordered sets
  • Transfinite enumeration
  • Euclidean spaces
  • Zorn's lemma
  • Hamel bases
  • The continuum hypothesis
  • Ultrafilters on ?
  • Families of sets
  • The Banach-Tarski paradox
  • Stationary sets in ?1
  • Stationary sets in larger cardinals
  • Canonical functions
  • Infinite graphs
  • Partition relations
  • ?-systems
  • Set mappings
  • Trees
  • The measure problem
  • Stationary sets in [?]^- The Banach-Tarski paradox
  • Stationary sets in ?1
  • Stationary sets in larger cardinals
  • Canonical functions
  • Infinite graphs
  • Partition relations
  • ?-systems
  • Set mappings
  • Trees
  • The measure problem
  • Stationary sets in [?]^.

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