### Algebraic Topology II (Winter Semester 2016/17)

- Lecturer: Dr. Caterina Campagnolo
- Classes: Lecture (0111500), Problem class (0111510)
- Weekly hours: 4+2

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.

Schedule | |||
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Lecture: | Monday 11:30-13:00 | SR 3.068 | Begin: 17.10.2016 |

Wednesday 11:30-13:00 | SR 3.061 | ||

Problem class: | Thursday 14:00-15:30 | SR 3.069 | Begin: 20.10.2016 |

Lecturers | ||
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Lecturer | Dr. Caterina Campagnolo | |

Office hours: by appointment |
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Room 1.033 Kollegiengebäude Mathematik (20.30) |
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Email: caterina.campagnolo@kit.edu | ||

Problem classes | Dr. Sabine Braun | |

Office hours: by appointment |
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Room 1.015 Kollegiengebäude Mathematik (20.30) |
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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 CW-complexes 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.