Verwandte Artikel zu Geometric Set Theory (Mathematical Surveys and Monographs,...

Geometric Set Theory (Mathematical Surveys and Monographs, Band 248) - Softcover

Larson, Paul B.; Zapletel, Jindrich

 
9781470454623: Geometric Set Theory (Mathematical Surveys and Monographs, Band 248)
Softcover
ISBN 10: 1470454629 ISBN 13: 9781470454623
Verlag: American Mathematical Society, 2020

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Paul B. Larson, Miami University, Oxford, OH

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

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
American Mathematical Society
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
1470454629
ISBN 13 
9781470454623
Einband
Taschenbuch
Anzahl der Seiten
330
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

Doelen 72
Breda
4831 GR
Niederlande