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Differential Topology [MA5122]

Wintersemester 2018/19

Prof. Dr. Michael M. Wolf

Lecturer: Prof. Dr. Michael M. Wolf
Assistant: Margret Heinze
Lecture: Mo 14:15 - 15:45 (room 00.09.022) Anmeldung
Exercises: Mi 10:15-11:45 und Do 08:15-09:45 (room 03.12.020A) Anmeldung

News

Lecture starts on Monday, Oct. 15

Content

We will follow a direct approach to differential topology and to many of its applications without requiring and exploiting the abstract machinery of algebraic topology. The course will cover immersion, submersions and embeddings of manifolds in Euclidean space (including the basic results by Sard and Whitney), a discussion of the Euler number and winding numbers, fixed point theorems, the Borsuk-Ulam theorem and respective applications. At the end of the course, students should be able to analyse topological problems from a differentiable viewpoint and to see differential problems from a topological perspective.

Date Content Black board notes Further reading
Oct 15 Intro, Topological spaces, subspace-,product- and quotient-topologies lec 1 A. Hatcher's notes Pfeil with more details and proofs

Exercises

File Content Week
Ex 1 Basic notions of topologies Oct. 22nd - Oct. 26th

Additional literature