Séminaires : Séminaire Général de Logique

Equipe(s) : lm,
Responsables :S. Anscombe, A. Khélif, A. Vignati
Email des responsables : sylvy.anscombe@imj-prg.fr, vignati@imj-prg.fr
Salle : 1013
Adresse :Sophie Germain
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Orateur(s) Joshua Frisch - ENS,
Titre Embedding Theorems for Polish Modules
Date21/03/2022
Horaire15:15 à 16:15
Diffusion
RésumeA Polish module is a topological module whose underlying topology is Polish (separable and completely metrizable). In this talk I will discuss some results (joint with Forte Shinko) about when Polish modules continuously inject into one another and the pre-order induced by these injections. In particular we will show that, for a wide class of rings, there are countably many minimal elements in this pre-order. As an application we will construct a countable family of uncountable abelian Polish groups at least one of which embeds into any other uncountable abelian Polish group.
Salle1013
AdresseSophie Germain
© IMJ-PRG