I'm an undergraduate on somewhat of a time constraint in school. I have room in my remaining schedule for a semester of either Differential Geometry or Differential Topology.
I understand the topological side deals with primarily global aspects of a manifold, whereas the geometrical side associates with interesting local structures.
To be concise- I'm interested in chaotic dynamical systems and P.D.E., so which subject would be more worthwhile, i.e. which subject's vocabulary/method would equip for further reading in the topics I am interested in? Or am i naive in forcing myself to choose between the two topics, as similar as they are?