Hana Jia Kong | Fall 2023 | Harvard University
Covering spaces and fibrations. Simplicial and CW complexes, Homology and cohomology, universal coefficients and Künneth formulas. Hurewicz theorem. Manifolds and Poincaré duality.
General
Lecture Notes
Chapters 1-2
Chapters 3-4
Chapters 6-9
Chapters 10-12
Chapters 13-15
Chapter 17
Problem Sets
Texts
A Concise Course in Algebraic Topology by J. P. May (online version)
Algebraic Topology by Allen Hatcher (online version)