Aristotelis Panagiotopoulos : Menger compacta and projective Fraisse limits

Posted by Sherwood Hachtman , part of the Logic Seminar.

At

Feb. 16, 2016, 4 p.m.

In

SEO 427

Abstract

In every dimension $n$, there exists a canonical compact, metrizable space called the $n$-dimensional Menger space. For $n=0$, it is the Cantor space and for $n=\infty$, it is the Hilbert cube. On the first part of the talk I will illustrate how basic notions of classical descriptive set theory naturally generalize into higher homotopical dimensions. In the second part of the talk I show how projective Fraisse machinery can be employed in the study of the Menger compacta. This is a joint work with Slawomir Solecki.