The Determinacy of Long Games

(Author)
Usually delivers within 2 weeks.

Description

In this volume the author develops and applies methods for proving, from large cardinals, the determinacy of definable games of countable length on natural numbers. The determinacy is ultimately derived from iteration strategies, connecting games on natural numbers with the specific iteration games that come up in the study of large cardinals.

The games considered in this text range in strength, from games of fixed countable length, through games where the length is clocked by natural numbers, to games in which a run is complete when its length is uncountable in an inner model (or a pointclass) relative to the run. More can be done using the methods developed here, reaching determinacy for games of certain length.

The book is largely self-contained. Only graduate level knowledge of modern techniques in large cardinals and basic forcing is assumed. Several exercises allow the reader to build on the results in the text, for example connecting them with universally Baire and homogeneously Suslin sets.

- Important contribution to one of the main features of current set theory, as initiated and developed by Jensen, Woodin, Steel and others.

Product Details

Price
£163.50
Publisher
De Gruyter
Publish Date
Language
English
Type
Hardback
EAN/UPC
9783110183412
BIC Categories:

Earn By Promoting Books

Earn money by sharing your favourite books through our Affiliate programme.

Become an Affiliate
We use cookies and similar methods to recognize visitors and remember their preferences. We also use them to help detect unauthorized access or activity that violate our terms of service, as well as to analyze site traffic and performance for our own site improvement efforts. To learn more about these methods, including how to disable them view our Cookie Policy.