Akihiro Kanamori Bücher

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.

Exploring the evolution of set theory, the book delves into its origins with Cantor's concepts of infinity and Zermelo's axioms that established a mathematical foundation. It highlights the field's growth into a complex area enriched by Gödel's model-building techniques, showcasing its contemporary relevance and sophistication. The text emphasizes both historical context and modern advancements, making it a valuable resource for understanding the intricacies of set theory in mathematics today.