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Synopsis
This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory.
Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including Ramsey theory and the axiom of choice. The revised edition contains new permutation models and recent results in set theory without the axiom of choice. The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin's problem. The technique is used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In the final part, some topics of classical set theory are revisited and further developed in light of forcing, with new chapters on Sacks Forcing and Shelah's astonishing construction of a model with finitely many Ramsey ultrafilters.
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Présentation de l'éditeur
This introduction to modern set theory opens the way to advanced current research. Coverage includes the axiom of choice and Ramsey theory, and a detailed explanation of the sophisticated technique of forcing. Offers notes, related results and references.
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Combinatorial Set Theory
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Springer International Publishing, 2019
ISBN 10 : 3319868128
ISBN 13 : 9783319868127
Neuf
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Combinatorial Set Theory
Edité par
Springer International Publishing Jun 2019, 2019
ISBN 10 : 3319868128
ISBN 13 : 9783319868127
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory.Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including Ramsey theory and the axiom of choice. The revised edition contains new permutation models and recent results in set theory without the axiom of choice. The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin's problem. The technique is used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In the final part, some topics of classical set theory are revisited and further developed in light of forcing, with new chapters on Sacks Forcing and Shelah's astonishing construction of a model with finitely many Ramsey ultrafilters.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 and historical remarks at the end of each chapter, this book is suitable for self-study. 612 pp. Englisch. N° de réf. du vendeur 9783319868127
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COMBINATORIAL SET THEORY WITH A GENTLE INTRODUCTION TO FORCING 2ED (PB 2019)
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Combinatorial Set Theory
ISBN 10 : 3319868128
ISBN 13 : 9783319868127
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 612 pp. Englisch. N° de réf. du vendeur 9783319868127
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Combinatorial Set Theory : With a Gentle Introduction to Forcing
ISBN 10 : 3319868128
ISBN 13 : 9783319868127
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory.Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including Ramsey theory and the axiom of choice. The revised edition contains new permutation models and recent results in set theory without the axiom of choice. The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin's problem. The technique is used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In the final part, some topics of classical set theory are revisited and further developed in light of forcing, with new chapters on Sacks Forcing and Shelah's astonishing construction of a model with finitely many Ramsey ultrafilters.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 and historical remarks at the end of each chapter, this book is suitable for self-study. N° de réf. du vendeur 9783319868127
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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