Fixed-point-free Mappings of Tree-like Continua


October 19, 2018 | 2:30 - 3:30 p.m.


Campbell Hall 443


Dr. Logan Hoehn


A topological space has the "fixed-point property" if every continuous function of the space to itself has at least one point which is mapped to itself. The well-known Brouwer fixed-point theorem states that for each n, the closed n-dimensional ball in Euclidean space has the fixed-point property. I will survey some further results and questions on the fixed-point property in the theory of compact connected metric spaces.