The Determinacy of Long Games is popular PDF and ePub book, written by Itay Neeman in 2008-08-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Determinacy of Long Games can be Read Online from any device for your convenience.
The Determinacy of Long Games Book PDF Summary
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.
Detail Book of The Determinacy of Long Games PDF
- Author : Itay Neeman
- Release : 22 August 2008
- Publisher : Walter de Gruyter
- ISBN : 9783110200065
- Genre : Mathematics
- Total Page : 333 pages
- Language : English
- PDF File Size : 17,7 Mb
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