Geometric Set Theory Paperback / softback
by Paul B. Larson, Jindrich Zapletal
Part of the Mathematical Surveys and Monographs series
Paperback / softback
Description
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.
Information
-
Only a few left - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:340 pages
- Publisher:American Mathematical Society
- Publication Date:30/09/2020
- Category:
- ISBN:9781470454623
Information
-
Only a few left - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:340 pages
- Publisher:American Mathematical Society
- Publication Date:30/09/2020
- Category:
- ISBN:9781470454623
