Lecture course with exercise session. The weekly homework is due on Wednesdays and can be handed in after the lecture.
The homework sets will be published on the ILIAS course webpage.
Algebraic Topology II (Winter Semester 2016/17)
Lecturer:  Dr. Caterina Campagnolo 

Classes:  Lecture (0111500), Problem class (0111510) 
Weekly hours:  4+2 
Lecture:  Monday 11:3013:00  SR 3.068  Begin: 17.10.2016 

Wednesday 11:3013:00  SR 3.061  
Problem class:  Thursday 14:0015:30  SR 3.069  Begin: 20.10.2016 
Lecturer  Dr. Caterina Campagnolo 

Office hours: by appointment 

Room 1.033 Kollegiengebäude Mathematik (20.30) 

Email: caterina.campagnolo@kit.edu  
Problem classes  Dr. Sabine Braun 
Office hours: by appointment 

Room 1.015 Kollegiengebäude Mathematik (20.30) 

Email: sabine.braun@kit.edu 
This lecture is the natural continuation of Algebraic Topology I and will build on the notions acquired there.
After a last result on CWcomplexes we will introduce Euler characteristic and homological algebra. Next will come cohomology and the various product structures that it carries, followed by chapters on vector bundles and manifolds. At the end of the lecture we will discuss duality results between homology and cohomology, in particular Poincaré duality.