Articles liés à Classification Theory. Second Edition with a new introductio...

Classification Theory. Second Edition with a new introduction - Couverture souple

Shelah, Saharon

 
9781848904231: Classification Theory. Second Edition with a new introduction
Couverture souple
ISBN 10 : 1848904231 ISBN 13 : 9781848904231
Editeur : College Publications, 2023

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
College Publications
Date d'édition
2023
Langue
anglais
ISBN 10 
1848904231
ISBN 13 
9781848904231
Reliure
Broché
Nombre de pages
748
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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