← Theoretical / proof-based

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In this program

Homotopy of maps
Fundamental group: computation for CW complexes and surfaces
Covering spaces
Galois correspondence
Seifert–van Kampen theorem
Applications to fixed-point
Brouwer theorems (introduction)

Homotopy and fundamental group

Applications to fixed-point

Algebraic topology · Theoretical / proof-based

Topic

Applications to fixed-point

Practice by unit: Homotopy and fundamental group

Graduate Algebraic Topology — scope drawn from open algebraic topology notes and typical US graduate algebraic topology syllabi.

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