9783031917516 - combinatorial set theory: with a gentle introduction to forcing di halbeisen, lorenz j. (8 risultati)
Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Da: Books From California, Simi Valley, CA, U.S.A.Books From California
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hardcover. Condizione: Fine.
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Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH
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EUR 187,57
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory.After an overview of basic notions in combinatorics and first-order logic, and discussing in great detail the axio…ms of set theory, the author outlines in the second part the main topics of classical set theory, including Ramsey theory and the axiom of choice. As an application of the axiom of choice, a complete proof of Robinson's construction for doubling a ball by dividing it into only five parts is given. For the new edition, the chapter on permutation models has been extended, and recent results in set theory without the axiom of choice and about cardinal characteristics have been added. The third part explains the sophisticated technique of forcing from scratch, now including more details about iterated forcing. The technique is then used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In particular, it is shown that both Martin's Axiom and Suslin's Hypothesis are independent of the axioms of set theory. The final part, with a new chapter on Laver forcing, is mainly concerned with consistency results obtained by iterations of forcing notions such as Cohen forcing, Sacks forcing, and Mathias forcing. The part begins with an extended chapter on countable support iterations of proper forcing notions, now also including proofs of some preservation theorems such as preservation of properness and of certain ultrafilters. In the following chapters, various consistency results concerning possible relations between cardinal characteristics and the existence of Ramsey ultrafilters are presented. For example, a detailed proof of Shelah s astonishing construction of a model with finitely many Ramsey ultrafilters is given.Written for graduate students in axiomatic set theory, Combinatorial Set Theory will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists, historical remarks, and related results at the end of the chapters, this book is also suitable for self-study.
Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Da: Books Puddle, New York, NY, U.S.A.Books Puddle
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EUR 239,30
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Condizione: New. Third Edition 2025 NO-PA16APR2015-KAP.
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Da: Brook Bookstore On Demand, Napoli, NA, ItaliaBrook Bookstore On Demand
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EUR 134,27
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Condizione: new. Questo è un articolo print on demand.
Lingua: Inglese
Editore: Springer Nature Switzerland, Springer International Publishing Mai 2025, 2025
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.
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EUR 171,19
EUR 23,00 spedizioneSpedito da Germania a U.S.A.Quantità: 2 disponibili
Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory.After an overview of basic notions in combinatorics and first-order logic, and discussing in great… detail the axioms of set theory, the author outlines in the second part the main topics of classical set theory, including Ramsey theory and the axiom of choice. As an application of the axiom of choice, a complete proof of Robinson's construction for doubling a ball by dividing it into only five parts is given. For the new edition, the chapter on permutation models has been extended, and recent results in set theory without the axiom of choice and about cardinal characteristics have been added. The third part explains the sophisticated technique of forcing from scratch, now including more details about iterated forcing. The technique is then used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In particular, it is shown that both Martin's Axiom and Suslin's Hypothesis are independent of the axioms of set theory. The final part, with a new chapter on Laver forcing, is mainly concerned with consistency results obtained by iterations of forcing notions such as Cohen forcing, Sacks forcing, and Mathias forcing. The part begins with an extended chapter on countable support iterations of proper forcing notions, now also including proofs of some preservation theorems such as preservation of properness and of certain ultrafilters. In the following chapters, various consistency results concerning possible relations between cardinal characteristics and the existence of Ramsey ultrafilters are presented. For example, a detailed proof of Shelah s astonishing construction of a model with finitely many Ramsey ultrafilters is given.Written for graduate students in axiomatic set theory, Combinatorial Set Theory will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists, historical remarks, and related results at the end of the chapters, this book is also suitable for self-study. 636 pp. Englisch.
Lingua: Inglese
Editore: Springer, Springer Nature Switzerland Mai 2025, 2025
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000
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EUR 171,19
EUR 60,00 spedizioneSpedito da Germania a U.S.A.Quantità: 1 disponibili
Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 636 pp. Englisch.
Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Da: Majestic Books, Hounslow, Regno UnitoMajestic Books
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EUR 245,88
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Condizione: New. Print on Demand.
Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Da: Biblios, frankfurt am main, HESSE, GermaniaBiblios
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EUR 253,41
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Condizione: New. PRINT ON DEMAND.
