MATH 6280 : Advanced Algebraic Topology - Homotopy Theory

Notes

Class 1

Class 2

Class 3

Class 4

Class 5

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Class 13

Class 14

Class 15

Class 16

Class 17

Class 18

Class 19

Class 20

Class 21

Class 22

Class 23: Lecture and Notes by Daniel Martin - A Proof of the Homotopy Excision Theorem

Class 24

Class 25

Class 26

Class 27

Class 28: Katharine Adamyk and Andy Riddle - Proof of the Hurewicz Theorem

Class 29

Class 30,31: Paul Lessard - Singular homology and simplicial sets

Class 32: Leo Herr - EG and BG

Class 33

Class 34

Class 35: Jonathan Belcher and Jonathan Lamar - The Kunneth and Universal Coefficient Theorems

Class 36

Class 37

Class 38

Class 39: Part 1 by Sebastian Bozlee - Brown Functors

Class 39: Part 2 by Cherry Ng - Brown Representability

Class 40

Class 41: Josh Frinak and Steven Weinell - Postnikov Towers

Class 42: Robert Hines - Vector Bundles and K-Theory

Class 43: Andrew Healy - Rational Homotopy Theory

Class 44: Matthew Pierson and Lucas Simon - Steenrod Squares and the Hopf Invariant

Assignments

Assignment 1 - pdf

Assignment 2 - pdf

Assignment 3 - pdf

Assignment 4 - pdf

Assignment 5 - Do Exercise A.2.2 and A.2.8 of Aguilar et al. - Due Friday December 9

Other Ressources

"On the construction of new topological spaces from exisiting one", by Emily Riehl