An embedding theorem of E-0 with model theoretic applications

作者：Kaplan Itay^*; Miller Benjamin D

来源：Journal of Mathematical Logic, 2014, 14(2): 1450010.

DOI：10.1142/S021906131450010X

• Descriptive set theory
• model theory
• E-0
• bounded invariant equivalence relations
• type definable groups
• Borel cardinality
• Lascar strong types

We provide a new criterion for embedding E-0, and apply it to equivalence relations in model theory. This generalize the results of the authors and Pierre Simon on the Borel cardinality of Lascar strong types equality, and Newelski%26apos;s results about pseudo F-sigma groups.

• 出版日期2014-12