Handbook of Set Theory

Handbook of Set Theory edited by Matthew Foreman, Akihiro Kanamori.

This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this han...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Foreman, Matthew (Editor), Kanamori, Akihiro (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Springer eBook Collection.
Subjects:
Discrete mathematics.
Mathematical logic.
Logic.
Philosophy and science.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Stationary Sets
  • Partition Relations
  • Coherent Sequences
  • Borel Equivalence Relations
  • Proper Forcing
  • Combinatorial Cardinal Characteristics of the Continuum
  • Invariants of Measure and Category
  • Constructibility and Class Forcing
  • Fine Structure
  • ? Fine Structure
  • Elementary Embeddings and Algebra
  • Iterated Forcing and Elementary Embeddings
  • Ideals and Generic Elementary Embeddings
  • Cardinal Arithmetic
  • Successors of Singular Cardinals
  • Prikry-Type Forcings
  • Beginning Inner Model Theory
  • The Covering Lemma
  • An Outline of Inner Model Theory
  • A Core Model Toolbox and Guide
  • Structural Consequences of AD
  • Determinacy in (?)
  • Large Cardinals from Determinacy
  • Forcing over Models of Determinacy.

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