Topology (MA3241)

 

 

Prof. Dr. Eva Viehmann

Stephan Neupert 

Time and venue

Lecture Mo 10:15 - 11:00 in 00.07.014
Do 10:15 - 11:45 in 00.09.022
Tutor group Mo 11:00-11:45 in 00.07.014

 

Content

Part 1: set topology, topological spaces, metric spaces, neighbourhood bases, countability axioms, convergence, continuity, topological products, compact spaces, separation axioms, connected spaces, Theorem of Tychonov

Part 2: fundamental group: paths, multiplication of paths, homotopy of paths, fundamental group, fundamental group of a circle, if time permits also: Brouwer Fixed Point Theorem, free groups, Theorem of Seifert and Van Kampen

Literature

G. Laures, M. Szymik: Grundkurs Topologie

 

G. Bredon: Topology and Geometry, Kapitel 1, 3

A. Hatcher: Algebraic Topology

K. Jänich: Topologie

Prerequisites

Analysis 1,2, Lineare Algebra 1,2. Interested students without these prerequisites are also welcome.

Exercises

Solutions

Here are hand-written solutions to the exercises. Please be aware, that even though prepared with some care, they may contain mistakes.

Exam

The exam will take place on February 11, 2016 from 10:00-11:30 in room MW1050.

The second exam will take place on March 31, 2016 from 12:00-13:30 in room HS 3 (00.06.011).

Office hours

Please contact us after the lecture/tutor group or write an email: "last name"@ma.tum.de