Ralf Schindler: Set Theory | Taschenbuch

Cover: 9783319067247 | Set Theory | Exploring Independence and Truth | Ralf Schindler | Buch

Rückseite: 9783319067247 | Set Theory | Exploring Independence and Truth | Ralf Schindler | Buch

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

81,70 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

Kategorien:

Beschreibung

This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory.
The following topics are covered:

¿ Forcing and constructability
¿ The Solovay-Shelah Theorem i.e. the equiconsistency of ¿every set of reals is Lebesgue measurable¿ with one inaccessible cardinal
¿ Fine structure theory and a modern approach to sharps
¿ Jensen¿s Covering Lemma
¿ The equivalence of analytic determinacy with sharps
¿ The theory of extenders and iteration trees
¿ A proof of projective determinacy from Woodin cardinals.

Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.

Über den Autor

Ralf Schindler teaches at Universität Münster and is an expert in the field of set theory.
Ralf Schindler works mostly in the area of descriptive inner model theory. His results are on the construction of inner models and core models, on coding over core models and on applications of inner model theory to descriptive set theory and combinatorics. He isolated the concept of a "remarkable" cardinal.

Zusammenfassung

Provides a fairly self-contained introduction to set theory, in particular to the theory of inner models and forcing

Presents essential aspects of set theory which are required in understanding modern developments of descriptive inner model theory

Includes proofs of landmark results at the interface of the theory of large cardinals and descriptive set theory

Includes supplementary material: [...]

Inhaltsverzeichnis

Naive set theory.- Axiomatic set theory.- Ordinals.- Cardinals.- Constructability.- Forcing.- Descriptive set theory.- Solovay's model.- The Raisonnier filter.- Measurable cardinals.- 0# and Jensen's Covering Lemma.- Analytic and full determinacy.- Projective determinacy.

Details

Erscheinungsjahr:	2014
Fachbereich:	Grundlagen
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	x 332 S. 10 s/w Illustr. 332 p. 10 illus.
ISBN-13:	9783319067247
ISBN-10:	3319067249
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Schindler, Ralf
Hersteller:	Springer Springer International Publishing AG Universitext
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 19 mm
Von/Mit:	Ralf Schindler
Erscheinungsdatum:	06.06.2014
Gewicht:	0,522 kg