Séminaires : Séminaire Général de Logique

Equipe(s) : lm,
Responsables :S. Anscombe, 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) Aleksandra Kwiatkowska - University of Münster,
Titre Compact connected spaces through projective Fraïssé limit constructions
Horaire15:15 à 16:15

Using the projective Fraisse limit construction introduced by Irwin and Solecki we obtain a new compact connected one-dimensional metric space. This continuum (compact connected space) is approximated by finite connected graphs with confluent epimorphisms. We show that the obtained continuum is indecomposable, but not hereditarily indecomposable, as arc-components are dense. It is pointwise self-homeomorphic, but not homogeneous, and each point is the top of the Cantor fan. Moreover, it is hereditarily unicoherent, in particular, it does not embed a circle; however, it embeds the universal solenoid and the pseudo-arc. This is joint work with W. J. Charatonik and R. P. Roe.

AdresseSophie Germain