Algebraic Topology
Objectives
Introduction to Algebraic Topology
General characterization
Code
12949
Credits
6.0
Responsible teacher
Philippe Laurent Didier
Hours
Weekly - 4
Total - Available soon
Teaching language
Português
Prerequisites
Topology
Differencial Topology and Geometry
Group theory
Bibliography
- Topologie Algébrique, Yves Félix et Daniel Tanré
- Topologia Algébrica e teoria elementar dos feixes, Teresa Monteiro Fernandes
- Algebraic Topology, William Fulton
- Algebraic Topology, Marvin Greenberg and John harper
- Homology Theory, James Vick
- Éléments de topologie algébrique, Claude Godbillon
Teaching method
TP
Evaluation method
Study project
Subject matter
- Poincaré group
- Quotient topology, n-cells, classification of superficies
- Seifert and Van Kampen theorem
- Coverings
- Chain complexes : simplicial and singular homology
- Applications
- De Rham cohomology