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Record Nr. |
UNINA9910789123403321 |
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Autore |
Nourani Cyrus F. |
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Titolo |
A functorial model theory : newer applications to algebraic topology, descriptive sets, and computing categories topos / / Cyrus F. Nourani, PhD |
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Pubbl/distr/stampa |
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Toronto : , : Apple Academic Press, Inc. |
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Boca Raton, FL : , : CRC Press, , [2014] |
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©2014 |
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ISBN |
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0-429-18873-0 |
1-4822-3150-6 |
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Edizione |
[First edition.] |
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Descrizione fisica |
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1 online resource (296 p.) |
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Disciplina |
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Soggetti |
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Infinitary languages |
Algebraic topology |
Descriptive set theory |
Categories (Mathematics) |
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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. |
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Nota di contenuto |
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Front Cover; About the Author; Contents; Preface; Chapter 1: Introduction; Chapter 2: Categorical Preliminaries; Chapter 3: Infinite Language Categories; Chapter 4: Functorial Fragment Model Theory; Chapter 5: Algebraic Theories, Categories, and Models; Chapter 6: Generic Functorial Models and Topos; Chapter 7: Models, Sheaves, and Topos; Chapter 8: Functors on Fields; Chapter 9: Filters and Ultraproducts on Projective Sets; Chapter 10: A Glimpse on Algebraic Set Theory; Bibliography |
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Sommario/riassunto |
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This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models. |
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