65-401 Algebraic Topology

• Lectures: We,Fr 12:15 - 13:45
• Instructor: Tobias Dyckerhoff
• Office: Geomatikum 338
• Email: tobias.dyckerhoffATuni-hamburg de
• Matrix: @tobias.dyckerhoff:matrix.math.uni-hamburg.de

• Tutorials: Mo 14:15 - 15:45

Course Material

The course material (notes, recordings, problem sets) will be maintained in a nextcloud folder.

About

This course will be an introduction to algebraic topology.

Topics

• Simplicial, singular and cellular homology
• Cohomology and the cup product
• Oriented manifolds and Poincaré duality
• ...

Literature

• A. Hatcher: Algebraic Topology, Cambridge University Press, 2002
• G. Bredon, Topology and Geometry, Springer, 2010
• R. Stöcker, H. Zieschang, Algebraische Topologie, Teubner 1994

Prerequisites

Familiarity with basic notions of the theory of topological spaces such as the fundamental group (as covered in Chapter I of Hatcher's book).

Final Exam

TBA