Talk held by Andrea Medini (KGRC) at the KGRC seminar on 2018-06-07. Abstract: All spaces are assumed to be separable and metrizable. A space $X$ is <em>homogeneous</em> if for all $x,y\in X$ there exists a homeomorphism $h:X\longrightarrow X$ such that $h(x)=y$. A space $X$ is <em>strongly homogeneous</em> if all non-empty clopen su ...

https://settheory.mathtalks.org/andrea-medini-homogeneous-spaces-and-wadge-theory/