## Séminaire Général de Logique

### Logic and Cech-Stone remainders

#### Alessandro Vignati - KU Leuven

lundi 14 janvier 2019 à 15:10

We study the properties of Cech-Stone remainder spaces, spaces of the form beta X minus X for a locally compact X where beta X denotes the Cech-Stone compactification of X. We focus on how logic interacts with the study of these objects. We approach such spaces both model theoretically, by looking at the continuous model theory of the C*-algebra of complex valued functions on beta X minus X, and set theoretically, by arguing that their homeomorphism structure depends on the axioms in play.

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