Generalized Descriptive Set Theory and Classification Theory

Show full item record



Permalink

http://hdl.handle.net/10138/157923

Citation

Friedman , S-D , Hyttinen , T & Kulikov , V 2014 , Generalized Descriptive Set Theory and Classification Theory . Memoirs of the American Mathematical Society , no. 1081 , vol. 230 , American Mathematical Society . https://doi.org/10.1090/memo/1081

Title: Generalized Descriptive Set Theory and Classification Theory
Author: Friedman, Sy-David; Hyttinen, Tapani; Kulikov, Vadim
Contributor: University of Helsinki, Department of Mathematics and Statistics
University of Helsinki, Department of Mathematics and Statistics
Publisher: American Mathematical Society
Date: 2014
Language: eng
Belongs to series: Memoirs of the American Mathematical Society
ISBN: 978-0-8218-9475-0
978-1-4704-1671-3
URI: http://hdl.handle.net/10138/157923
Abstract: The field of descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replaced by uncountable. We explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very dierent in this generalized setting compared to the classical, countable case. We also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. Our results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.
Subject: 111 Mathematics
Matemaattinen logiikka
deskriptiivinen joukko-oppi
malliteoria
Rights:


Files in this item

Total number of downloads: Loading...

Files Size Format View
KulHytFri_2010_12_29.pdf 618.6Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record