Logic Seminar
Aristotelis Panagiotopoulos
UIUC
Menger compacta and projective Fraisse limits
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.
Tuesday February 16, 2016 at 4:00 PM in SEO 427