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Differential Topology [MA5122]

Sommersemester 2017

Lecturer: Prof. Dr. Robert König
Übungsleitung: Andreas Bluhm
Lectures: Wednesday 10:15 - 11:45 Anmeldung
Exercises: Wednesdays 8:30-10:00, Room: MI 02.04.011 Anmeldung

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Contents

This course will provide an introduction to basic concepts of differential topology. We will discuss immersions, submersions and embeddings, critical points and Sard's theorem, Whitney's embedding theorem, as well as some mapping degree theory. Applications include fixed point theorems and the Borsuk-Ulam theorem. By the end of this course, students should be able to analyse topological problems from a differentiable viewpoint and to see differential problems from a topological perspective.

Literature

In addition to the handwritten notes, some suggested references are

Handwritten notes

Exercises

Other comments

You may be interested in the topology course taught concurrently by Prof. Ulrich Bauer, see here .