Gianluca Basso : Compact metrizable structures via projective Fraïssé theory

Posted by Filippo Calderoni , part of the Logic Seminar.

At

March 9, 2021, 11 a.m.

In

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Abstract

The goal of projective Fraïssé theory is to approximate compact metrizable spaces via classes of finite structures and glean topological or dynamical properties of a space by relating them to combinatorial features of the associated class of structures. We will discuss general results, using the framework of compact metrizable structures, as well as applications to the study a class of one-dimensional compact metrizable spaces, that of smooth fences, and to a particular smooth fence with remarkable properties, which we call the Fraïssé fence.