Inner Models and Large Cardinals

Nachdruck 2011
ISBN: 978-3-11-016368-1
Verlag: De Gruyter

Buch, Englisch, Band 5, 369 Seiten, Format (B × H): 160 mm x 236 mm, Gewicht: 725 g

Reihe: De Gruyter Series in Logic and Its Applications

This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties of the set theoretic universe. The monograph contains a detailed presentation of general fine structure theory as well as a modern approach to the construction of small core models, namely those models containing at most one strong cardinal, together with some of their applications. The final part of the book is devoted to a new approach encompassing large inner models which admit many Woodin cardinals. The exposition is self-contained and does not assume any special prerequisities, which should make the text comprehensible not only to specialists but also to advanced students in Mathematical Logic and Set Theory.

Zielgruppe

Research Mathematicians, Graduate Students

Autoren/Hrsg.

Zeman, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie

Inhaltsverzeichnis

Preface · Fine Structure · Extenders and Coherent Structures · Fine Ultrapowers · Mice and Iterability · Solidity and Condensation · Extender Models · The Core Model · One Strong Cardinal · Overlapping Extenders · Bibliography · Index

Über Autor(innen)

Professor Martin Zeman, Institut für formale Logik, University Vienna, Vienna, Austria.