65-401 Algebraic Topology

• Lectures: We 14:15 - 15:45 (Geom H2), Fr 12:15 - 13:45 (Geom H1)
• First Lecture: Fr, Apr 8
• Instructor: Tobias Dyckerhoff
• Office: Geomatikum 338
• Email: tobias.dyckerhoffATuni-hamburg de
• Matrix: @tobias.dyckerhoff:matrix.math.uni-hamburg.de

• Tutorial 1 (Jonte Gödicke): Fr 10:15 - 11:45 (Geom 435)
• Tutorial 2 (Tobias Dyckerhoff): Fr 14:15 - 15:45 (Geom 1240)
• First Tutorials: Fr, Apr 22

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
• ...

Homework

• Please submit in groups of 2.
• You will need a total score of at least 50% to be admitted to the final exam.

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