Séminaires : Séminaire de Logique Lyon-Paris

Equipe(s) : lm,
Responsables :O. Finkel, A. Khélif, S. Rideau, T. Tsankov, A. Vignati
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Orateur(s) Christian Rosendal - University of Illinois at Chicago,
Titre Continuity of universally measurable homomorphisms
Date29/04/2020
Horaire16:00 à 17:15
Diffusion
Résume

We show that a universally measurable homomorphism between Polish
groups is automatically continuous. Using our general analysis of
continuity of group homomorphisms, this result is used to calibrate the
strength of the existence of a discontinuous homomorphism between Polish
groups. In particular, it is shown that, modulo ZF+DC, the existence of
a discontinuous homomorphism between Polish groups implies that the
Hamming graph on {0, 1}N has finite chromatic number. This solves a
classical problem originating in JPR Christensen's work on Haar null sets.

SalleZoom ID: 824 8220 9628; s'inscrire à la liste ou contacter silvain.rideau@imj-prg.fr pour le mot de passe.
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