Logic Seminar

The Lelek fan $L$ is the unique non-degenerate subcontinuum of the Cantor fan with a dense set of endpoints. We denote by $G$ the group of homeomorphisms of $L$ with the compact-open topology. We describe $L$ as a natural quotient of a topological structure, which provides us with a different veiwpoint on  $L$ and $G$. Studying the dynamics of $G$, we generalize the finite Gowers' Theorem to a variety of operations. This is joint work with Aleksandra Kwiatkowska.