Algebraic Topology 276 Spring 2020








Office hours are Mondays and Wednesdays 12 - 1:30.

I am also often available at other times, so feel free to drop by.

Resources:

Algebraic Topology by Allen Hatcher
Topology and Geometry by Glen Bredon

Lecture Notes

Lecture on low dimensional homology groups
Lecture on Category Theory
Lecture on Functoriality of homology
Lecture on Homological Algebra
Lecture on the Snake Lemma
Lecture on Exact Sequences in Homology
Lecture on the Axioms of Homology
Lecture on the Homology of a pair
Lecture on Degree of maps
Lecture on CW complexes
Lecture on Cellular Homology
Lecture on Computations of Homology
Lecture on Euler characteristic
Lecture on Chain homotopies
Lecture on the Homotopy axiom for singular homology
Lecture on Barycentric Subdivision
Lecture proving the Excision Axiom
Lecture on the Mayer-Vietoris sequence
Lecture on Hom and Cohomology  Video of the lecture (mp4 format 284mb)

Exercises

Exercises to be updated throughout the course.