ENGLISH

Inner Models and Large Cardinals

By Martin Zeman

Book information

Publisher
de Gruyter
Year
2001
ISBN
9783110857818, 9783110163681
DOI
10.1515/9783110857818
Language
english
Format
PDF
Filesize
19 MB (19709848 bytes)
Series
De Gruyter Series in Logic and Its Applications; 5
Edition
Reprint 2011
Pages
380\384
Library
degruyter.com
Time added
2023-07-23 16:38:46

Description

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.

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