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.
- ISBN10 3540570713
- ISBN13 9783540570714
- Publish Date November 1994 (first published 1 January 1994)
- Publish Status Active
- Out of Print 8 June 2021
- Publish Country DE
- Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Edition 2nd edition
- Format Hardcover
- Pages 560
- Language English