Combinatorial Set Theory

With a Gentle Introduction to Forcing

Lorenz J. Halbeisen

  • Springer

  • Date de publication : 2017-12-20

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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.

Détails
Auteur
Lorenz J.  Halbeisen
Marque
Springer
Collection
n.c
Parution
2017-12-20
Pages
594 pages
EAN papier
9783319602301
Langue
Anglais
Informations ebook
EAN PDF
9783319602318
Prix
158,24 €
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Nb pages copiables 5
Nb pages imprimables 59
Taille du fichier 8745 Ko
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Defaut-Illustration Lorenz J. Halbeisen
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