Generalized Descriptive Set Theory and Classification Theory Paperback / softback
by Sy-David Friedman, Tapani Hyttinen, Vadim Kulikov
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences.
In this paper the authors study the generalization where countable is replaced by uncountable.
They explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility.
The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case.
They also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations.
The authors' results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:80 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2014
- Category:
- ISBN:9780821894750
Other Formats
- PDF from £58.50
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:80 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2014
- Category:
- ISBN:9780821894750
