No Unwanted Universally Baire Morphisms
Dan Hathaway

TL;DR
The paper proves that there are no universally Baire morphisms between certain challenge-response relations, extending previous results about Borel morphisms and highlighting limitations in the structure of these relations.
Contribution
It generalizes the non-existence of Borel morphisms to universally Baire morphisms in the context of challenge-response relations.
Findings
No universally Baire morphisms exist between certain challenge-response relations.
The proof extends previous results about Borel morphisms.
Highlights limitations in the structure of challenge-response relations.
Abstract
We show that the usual proof that there are no morphisms (in the sense of cardinal characteristics), whose constituent maps are Borel, between certain challenge-response relations generalizes to show that there are no morphisms whose constituent maps are universally Baire.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Rings, Modules, and Algebras
