Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics) - Tapa blanda

Halbeisen, Lorenz J.

9783319868127: Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)

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ISBN 10: 3319868128 ISBN 13: 9783319868127

Editorial: Springer, 2019

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“Each chapter ends with Notes that often add historical information, offer further remarks on the chapter’s contents ... . Halbheisen’s Combinatorial Set Theory is an excellent source for the intermediate or advanced student of set theory ... Because of its wealth of material, it should also serve as an excellent resource for those designing advanced courses or searching for seminar assignments for students.” (J. M. Plotkin, zbMATH 06755662, 2018)

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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.

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EditorialSpringer
A�o de publicaci�n2019
ISBN 10 3319868128
ISBN 13 9783319868127
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IdiomaIngl�s
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)

Halbeisen, Lorenz J.

Publicado por Springer, 2019

ISBN 10: 3319868128 ISBN 13: 9783319868127

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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)

Halbeisen, Lorenz J.

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Combinatorial Set Theory

Lorenz J. Halbeisen

Publicado por Springer International Publishing, 2019

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Combinatorial Set Theory

Lorenz J. Halbeisen

Publicado por Springer International Publishing Jun 2019, 2019

ISBN 10: 3319868128 ISBN 13: 9783319868127

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Taschenbuch. Condici�n: 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 ref. del art�culo: 9783319868127

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Combinatorial Set Theory : With a Gentle Introduction to Forcing

Lorenz J. Halbeisen

Publicado por Springer International Publishing, Springer International Publishing, 2019

ISBN 10: 3319868128 ISBN 13: 9783319868127

Nuevo Taschenbuch

Librería: AHA-BUCH GmbH, Einbeck, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Taschenbuch. Condici�n: 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 ref. del art�culo: 9783319868127

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