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Record Nr. |
UNINA9910778375103321 |
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Autore |
Neeman Itay <1972-> |
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Titolo |
The determinacy of long games [[electronic resource] /] / Itay Neeman |
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Pubbl/distr/stampa |
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Berlin ; ; New York, : Walter de Gruyter, c2004 |
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ISBN |
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1-282-19506-9 |
9786612195068 |
3-11-020006-6 |
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Edizione |
[Reprint 2015] |
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Descrizione fisica |
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1 online resource (332 p.) |
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Collana |
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De Gruyter series in logic and its applications ; ; 7 |
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Classificazione |
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Disciplina |
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Soggetti |
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Game theory |
Determinants |
Logic, Symbolic and mathematical |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [309]-311) and index. |
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Nota di contenuto |
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Front matter -- Contents -- Introduction -- Chapter 1 Basic components -- Chapter 2 Games of fixed countable length -- Chapter 3 Games of continuously coded length -- Chapter 4 Pullbacks -- Chapter 5 When both players lose -- Chapter 6 Along a single branch -- Chapter 7 Games which reach local cardinals -- Back matter |
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Sommario/riassunto |
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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 point class... |
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