Corpus ID: 232240246

Keisler measures in the wild

@inproceedings{Conant2021KeislerMI,
  title={Keisler measures in the wild},
  author={G. Conant and K. Gannon and James Hanson},
  year={2021}
}
We investigate the behavior of 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… Expand
1 Citations

References

SHOWING 1-10 OF 36 REFERENCES
On NIP and invariant measures
Remarks on generic stability in independent theories
Descriptive Set Theory and Forcing: How to Prove Theorems about Borel Sets the Hard Way
Generically stable and smooth measures in NIP theories
Perfect images of absolute Souslin and absolute Borel Tychonoff spaces
Definable groups and compact p-adic Lie groups
RANDOMIZATIONS OF MODELS AS METRIC STRUCTURES
Definably amenable NIP groups
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