Articles liés à Geometric Set Theory

Geometric Set Theory - Couverture souple

Larson, Paul B.; Zapletal, Jindrich

 
9781470454623: Geometric Set Theory
Couverture souple
ISBN 10 : 1470454629 ISBN 13 : 9781470454623
Editeur : American Mathematical Society, 2020

Synopsis

This book introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. In Part I, the method is applied to isolate new distinctions between Borel equivalence relations. Part II contains applications to independence results in Zermelo-Fraenkel set theory without Axiom of Choice. The method makes it possible to classify in great detail various paradoxical objects obtained using the Axiom of Choice; the classifying criterion is a ZF-provable implication between the existence of such objects. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics: ultrafilters, Hamel bases, transcendence bases, colorings of Borel graphs, discontinuous homomorphisms between Polish groups, and many more. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.

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

À propos de l'auteur

Paul B. Larson, Miami University, Oxford, OH

Jindrich Zapletal, University of Florida, Gainesville, FL, and Czech Academy of Sciences, Prague, Czech Republic

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

Éditeur
American Mathematical Society
Date d'édition
2020
Langue
anglais
ISBN 10 
1470454629
ISBN 13 
9781470454623
Reliure
Broché
Nombre de pages
340
Coordonnées du fabricant
non disponible
Personne responsable
non disponible