The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings

Author:   Akihiro Kanamori
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2nd edition
ISBN:  

9783540570714


Pages:   560
Publication Date:   November 1994
Format:   Hardback
Availability:   Out of stock   Availability explained
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The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings


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Overview

After describing the beginnings of the subject - the theory of large cardinals - a comprehensive account is given of the work in the 1960s partition properties, forcing and sets of reals, and aspects of measurability (including saturated deals and inner models of measurability). Then discussed are the strong hypotheses like super-compactness up to Kunen's inconsistency. The last sections describe the investigation of determinacy from its beginnings up to a survey of the recent- consistency results of Woodin. The material is presented in the context. of its historical development and leads to the frontiers of contemporary research. It will serve as a reference and guide to graduate students and researchers in set theory and set-theoretic topology.

Full Product Details

Author:   Akihiro Kanamori
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd edition
Weight:   0.980kg
ISBN:  

9783540570714


ISBN 10:   3540570713
Pages:   560
Publication Date:   November 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Reviews

""The exposition is intelligent and well-paced;...as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf."" Proceedings of the Edinburgh Mathematical Society ""The exposition is intelligent and well-paced; ...as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf."" Proceedings of the Edinburgh Mathematical Society


The exposition is intelligent and well-paced;...as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf. Proceedings of the Edinburgh Mathematical Society


The exposition is intelligent and well-paced; ...as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf. Proceedings of the Edinburgh Mathematical Society The exposition is intelligent and well-paced;...as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf. Proceedings of the Edinburgh Mathematical Society


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