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Instructors: Ph.D. Sabrina Pauli
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
04-10-0590-vu
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Course Contents:
This is a continuation of Algebraic Topology 1 from last term. We will study chapter 3 and some parts of chapter 4 of Hatcher, in particular
- Cohomology (mainly singular cohomology, but also simplicial and cellular cohomology)
- the universal coefficient theorem for cohomology
- the cup product and the cohomology ring
- Künneth formula
- orientations
- Poincaré duality
- Cohomology with local coefficients
If time permits, we will also cover
- homotopy groups
- stable homotopy groups
- Whitehead's theorem
- Hurewicz's theorem
Literature:
Allen Hatcher - Algebraic Topology
Online Offerings:
moodle
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