Séminaires : Séminaire de Logique Lyon-Paris

Equipe(s) : lm,
Responsables :O. Finkel, A. Khélif, S. Rideau, T. Tsankov, A. Vignati
Email des responsables :
Salle : Zoom 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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Orateur(s) Daniel Soukup - KGRC, University of Vienna,
Titre High Davies-trees in infinite combinatorics
Date07/05/2018
Horaire15:10 à 16:10
Diffusion
Résume The goal of this talk is to explore a general method based on trees of elementary submodels which can be used to highly simplify proofs to numerous results in infinite combinatorics. While countable elementary submodels have been employed in such settings already, we also present the corresponding technique with countably closed models of size continuum. The applications range from various theorems on paradoxical decompositions of the plane, to coloring sparse set systems, results on graph chromatic number and constructions from point-set topology. Our main purpose is to demonstrate the ease and wide applicability of this method in a form accessible to anyone with a basic background in set theory and logic.
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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