# Dana Bartosova: Lelek fan from a projective Fraisse limit

31/January/2014, 13:30–15:00
Fields institute, Room 210

Speaker:  Dana Bartosova

Title:  Lelek fan from a projective Fraisse limit

Abstract:

The Lelek fan is the unique subcontinuum of the Cantor fan whose set of endpoints is dense. The Cantor fan is the cone over the Cantor set, that is $C\times I/\sim,$ where $C$ is the Cantor set, $I$ is the closed unit interval and $(a,b)\sim (c,d)$ if and only if either $(a=c$ and $b=d)$ or $(b=d=0)$. We construct the Lelek fan as a natural quotient of a projective Fraisse limit and derive some properties of the Lelek fan and its homeomorphism group. This is joint with Aleksandra Kwiatkowska.