• Corpus ID: 232240246

# Keisler measures in the wild

@inproceedings{Conant2021KeislerMI,
title={Keisler measures in the wild},
author={Gabriel Conant and Kyle Gannon and James Hanson},
year={2021}
}
• Published 16 March 2021
• Mathematics
We investigate Keisler measures in arbitrary theories. Our initial focus is on Borel definability. We show that when working over countable parameter sets in countable theories, Borel definable measures are closed under Morley products and satisfy associativity. However, we also demonstrate failures of both properties over uncountable parameter sets. In particular, we show that the Morley product of Borel definable types need not be Borel definable (correcting an erroneous result from the…
5 Citations
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ASSOCIATIVITY OF THE MORLEY PRODUCT OF INVARIANT MEASURES IN NIP THEORIES
• Mathematics
The Journal of Symbolic Logic
• 2021
A new proof of associativity for the Morley (or “nonforking”) product of invariant measures in NIP theories is given.
Definable convolution and idempotent Keisler measures
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Sequential approximations for types and Keisler measures
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