Handbook of Set Theory

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Foreman, Matthew (Επιμελητής έκδοσης), Kanamori, Akihiro (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2010.
• Θέματα: Mathematics.; Logic.; Philosophy and science.; Mathematical logic.; Discrete mathematics.; Discrete Mathematics.; Mathematical Logic and Foundations.; Philosophy of Science.

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...

Πίνακας περιεχομένων:

• 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.