Spring 2017 MATH 215A 001 LEC

Class has been moved to 740 Evans.

Prerequisites: 113 and point-set topology (e.g. 202A)

Description: We’ll first introduce interesting spaces, like manifolds (including knot and link complements) and CW-complexes. Then we’ll discuss the first tools to study qualitatives features of these spaces, namely fundamental group, higher homotopy and homology groups. We’ll end with proving some important consequences, e.g. invariance of dimension, the generalized Jordan curve theorem and the Lefschetz fixed point theorem. Throughout the class, we'll get sidetracked by interesting topics like cobordism groups, fibre bundles, de Rham cohomology, (higher) categories etc. 

Office: 703 Evans

Office Hours: Tu. 2:30 - 3:30 and by appointment

Required Text: Glen Bredon, Topology and Geometry

Recommended Reading: Allen Hatcher, Algebraic Topology

Grading: Letter grade depending on success in homework.

Homework: Weekly homework sessions, homework will be submitted in writing in groups of 2-3 students. 

Course Webpage: http://people.mpim-bonn.mpg.de/teichner/Math/AlgTop.html