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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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Bibliographic Details
Main Authors: Komjath, Peter, Totik, Vilmos (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2006, 2006
Edition:1st ed. 2006
Series:Problem Books in Mathematics
Subjects:
Mathematical Logic
Discrete Mathematics
Mathematical Logic And Foundations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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