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Classification Theory. Second Edition with a new introduction - Softcover

Shelah, Saharon

 
9781848904231: Classification Theory. Second Edition with a new introduction
Softcover
ISBN 10: 1848904231 ISBN 13: 9781848904231
Verlag: College Publications, 2023

Inhaltsangabe

This book is for readers who have learned about first order logic; Gödel's completeness theorem; the Löwenheim-Skolem theorem; the Tarski-Vaught criterion for being elementary sub-model; and who know naive set theory. A graduate course in model theory will be helpful. The thesis of the book is that we can find worthwhile dividing lines among complete first order theories T; mainly countable. That is, properties dividing them in some sense between understandable and complicated ones. The main test problem is the number of models of T of the infinite cardinal l as a function of l. This culminates in the so-called main gap theorem saying the number is either maximal or quite small in suitable sense. Toward this, other properties are introduced and investigated, such as being stable or being super stable, where can we define dimension and weight, particularly for super stable theories.

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Verlag
College Publications
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
1848904231
ISBN 13 
9781848904231
Einband
Taschenbuch
Anzahl der Seiten
748
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Deutschland