Combinatorial Set Theory: Partition Relations for Cardinals - Couverture souple

Erdos, Paul

 
9780444557308: Combinatorial Set Theory: Partition Relations for Cardinals
Couverture souple
ISBN 10 : 044455730X ISBN 13 : 9780444557308
Editeur : North Holland, 2012

Synopsis

This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods in partition calculus includes a section on topology with Arhangel'skii's famous result that a first countable compact Hausdorff space has cardinality, at most continuum. Several sections on set mappings are included as well as an account of recent inequalities for cardinal powers that were obtained in the wake of Silver's breakthrough result saying that the continuum hypothesis can not first fail at a singular cardinal of uncountable cofinality.

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

Présentation de l'éditeur

This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods in partition calculus includes a section on topology with Arhangel'skii's famous result that a first countable compact Hausdorff space has cardinality, at most continuum. Several sections on set mappings are included as well as an account of recent inequalities for cardinal powers that were obtained in the wake of Silver's breakthrough result saying that the continuum hypothesis can not first fail at a singular cardinal of uncountable cofinality.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
North Holland
Date d'édition
2012
Langue
anglais
ISBN 10 
044455730X
ISBN 13 
9780444557308
Reliure
Broché
Nombre de pages
348
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780444861573: Combinatorial Set Theory: Partition Relations for Cardinals : Studies in Logic and the Foundations of Mathematics Series

Edition présentée

ISBN 10 :  0444861572 ISBN 13 :  9780444861573
Editeur : North-Holland, 1984
Couverture rigide