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Handbook of Set Theory, 3 Teile

BuchGebunden
2230 Seiten
Englisch
Springer Netherlandserschienen am05.02.2010
Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate.mehr
Verfügbare Formate
BuchGebunden
EUR855,99
BuchKartoniert, Paperback
EUR855,99
E-BookPDF1 - PDF WatermarkE-Book
EUR844,23

Produkt

KlappentextDiscovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate.
ZusammenfassungThis volume offers a compendium of the methods, results, and current initiatives in modern set theory. Written by experts in the field, this self-contained reference is essential reading for aspiring researchers and veteran theorists alike.
Details
ISBN/GTIN978-1-4020-4843-2
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2010
Erscheinungsdatum05.02.2010
Seiten2230 Seiten
SpracheEnglisch
Gewicht3826 g
IllustrationenXIV, 2230 p. In 3 volumes, not available separately.
Artikel-Nr.11005892

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
From the reviews:
"This Handbook is written for graduate students and researchers ... . The 24 chapters and a long introduction are written by acknowledged experts, major research figures in their areas. ... The Handbook is completed by an extensive Index." (Martin Weese, Zentralblatt MATH, Vol. 1197, 2010)
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