No Unwanted Universally Baire Morphisms

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.