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

Posted on 2010-03-16




Name:The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (repost)
ASIN/ISBN:3540888667
Language:English
File size:5 Mb
Publisher: Springer-Verlag
Pages: 564
Publish Date: 2009-01
ISBN: 3540888667
File Type: PDF
File Size: 5 MB
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The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings

After describing the beginnings of the subject - the theory of large cardinals - a comprehensive account is given of the work in the 1960s on partition properties, forcing and sets of reals, and aspects of measurability (including saturated ideals and inner models of measurability). Then discussed are the strong hypotheses like supercompactness 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.

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