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Book Cover
E-book

Title Handbook of set theory / edited by Matthew Foreman, Akihiro Kanamori
Published Dordrecht : Springer, ©2010

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Description 1 online resource (xiv, 2197 pages)
Contents Introduction; 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; Sigma 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
Summary 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 handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and they each bring to bear their experience and insights in carefully wrought, self-contained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essential reading for the aspiring researcher, a pivotal focus for the veteran set theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which first appeared as a foundation of mathematics but in the last several decades has expanded into a broad and far-reaching field with its own self-fueling initiatives
Bibliography Includes bibliographical references and index
Notes English
Print version record
In Springer eBooks
Subject Set theory.
Teoría de conjuntos
Set theory
Form Electronic book
Author Foreman, M. (Matthew), 1957-
Kanamori, Akihiro
ISBN 9781402057649
1402057644
1402048432
9781402048432