The seminar meets on Wednesday March 6th at 11:00 in the Institute of
Mathematics CAS, Zitna 25, seminar room, 3rd floor, front building.
Program: Michal Doucha — Definable pseudometrics and Borel reductions
I will introduce a “continuous generalizatio” of the theory of
definable equivalence relations and Borel reductions between them.
Equivalence relations will be replaced by pseudometrics and reductions
between them will be replaced by certain uniformly continuous maps. I
will explain our motivation and prove some basic results. I will present
some open problems whose solutions may require completely new ideas from
invariant descriptive set theory. It will be based on a joint paper with
Marek Cúth and Ondřej Kurka.