Combinatorial Set Theory: With a Gentle Introduction to Forcing - Couverture rigide

Halbeisen, Lorenz J.

 
9781447121725: Combinatorial Set Theory: With a Gentle Introduction to Forcing
Couverture rigide
ISBN 10 : 1447121724 ISBN 13 : 9781447121725
Editeur : Springer London Ltd, 2011

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer London Ltd
Date d'édition
2011
Langue
anglais
ISBN 10 
1447121724
ISBN 13 
9781447121725
Reliure
Relié
Nombre de pages
472
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
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Hamburg
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Autres éditions populaires du même titre

9781447160861: Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)

Edition présentée

ISBN 10 :  144716086X ISBN 13 :  9781447160861
Editeur : Springer, 2014
Couverture souple