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The Core Model Iterability Problem (Lecture Notes in Logic) - Couverture souple

Livre 8 sur 39: Lecture Notes in Logic

Steel, John

 
9783540619383: The Core Model Iterability Problem (Lecture Notes in Logic)
Couverture souple
ISBN 10 : 3540619380 ISBN 13 : 9783540619383
Editeur : Springer, 1996

Synopsis

Large cardinal hypotheses play a central role in modern set theory. One important way to understand such hypotheses is to construct concrete, minimal universes, or "core models", satisfying them. Since Gödel's pioneering work on the universe of constructible sets, several larger core models satisfying stronger hypotheses have been constructed, and these have proved quite useful. Here the author extends this theory so that it can produce core models satisfying "There is a Woodin cardinal", a large cardinal hypothesis which is the focus of much current research. The book is intended for advanced graduate students and reseachers in set theory.

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

Présentation de l'éditeur

Large cardinal hypotheses play a central role in modern set theory. One important way to understand such hypotheses is to construct concrete, minimal universes, or "core models", satisfying them. Since Gödel's pioneering work on the universe of constructible sets, several larger core models satisfying stronger hypotheses have been constructed, and these have proved quite useful. Here the author extends this theory so that it can produce core models satisfying "There is a Woodin cardinal", a large cardinal hypothesis which is the focus of much current research. The book is intended for advanced graduate students and reseachers in set theory.

Revue de presse

'Steel's monograph is a masterpiece in terms of both research and exposition. The reviewer ranks it amongst the most significant works in set theory, because of its fundamental advances and broadly applicable new methods. It is required reading for anyone wishing to get up to date on core model theory, and it leads to many beautiful open problems for research.' Ernest Schimmerling, Journal of Symbolic Logic

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
1996
Langue
anglais
ISBN 10 
3540619380
ISBN 13 
9783540619383
Reliure
Broché
Nombre de pages
124
Coordonnées du fabricant
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