MATH 7800

Algebraic Topology I

Course Description

Pre-Requisite(s): MATH 5352, 5770, or equivalent

Topics include the fundamental group, covering spaces, covering transformations, the universal covering spaces, graphs and subgroups of free groups, and the fundamental groups of surfaces. Additional topics will be from homology, including chain complexes, simplicial and singular homology, exact sequences and excision, cellular homology, and classical applications.


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