BYU

Abstract by Jason Day

Personal Infomation


Presenter's Name

Jason Day

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Todd Fisher

Title

Topologically mixing suspension flows

Abstract

We find a set of conditions on a roof function to ensure topological mixing for suspension flows over a topological mixing base.  In the measure theoretic case, such conditions have already been established. Specifically, a suspension is mixing if and only if the roof function is not cohomologous to a constant.  We show that an analogous statement holds to establish topological mixing.  Much of the work required is to find properties specific to the equivalence class of functions cohomologous to a constant.  In addition to these conditions, we show that the set of roof functions that induce a mixing suspension is open and dense in the space of continuous roof functions.