Large Cardinals in Set Theory from Their Beginnings
First Statement of Responsibility
by Akihiro Kanamori.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg : Imprint : Springer
Date of Publication, Distribution, etc.
1997
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(XXIV, 536 pages)
SERIES
Series Title
Perspectives in mathematical logic
SUMMARY OR ABSTRACT
Text of Note
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.