Inner Models and Large Cardinals / Edition 1

Inner Models and Large Cardinals / Edition 1

by Martin Zeman
     
 

ISBN-10: 3110163683

ISBN-13: 9783110163681

Pub. Date: 12/12/2001

Publisher: De Gruyter

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

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Overview

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.

Product Details

ISBN-13:
9783110163681
Publisher:
De Gruyter
Publication date:
12/12/2001
Series:
de Gruyter Series in Logic and Its Applications Series, #5
Pages:
384
Product dimensions:
6.14(w) x 9.21(h) x 0.88(d)
Age Range:
18 Years

Table of Contents

Preface
1Fine Structure1
2Extenders and Coherent Structures47
3Fine Ultrapowers71
4Mice and Iterability109
5Solidity and Condensation146
6Extender Models175
7The Core Model212
8One Strong Cardinal251
9Overlapping Extenders280
Bibliography359
Index365

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