Téléchargez le livre : Combinatorial Set Theory

Combinatorial Set Theory

With a Gentle Introduction to Forcing

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Éditeur :

Springer


Paru le : 2011-11-24



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Description
This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.
Pages
456 pages
Collection
n.c
Parution
2011-11-24
Marque
Springer
EAN papier
9781447121725
EAN EPUB
9781447121732
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
45
Taille du fichier
6001 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
137,14 €

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