MATH 6280 - Advanced Algebraic Topology
Fall 2016
MATH 6280 : Advanced Algebraic Topology - Homotopy Theory
Notes
Class 23: Lecture and Notes by Daniel Martin - A Proof of the Homotopy Excision Theorem
Class 28: Katharine Adamyk and Andy Riddle - Proof of the Hurewicz Theorem
Class 30,31: Paul Lessard - Singular homology and simplicial sets
Class 32: Leo Herr - EG and BG
Class 35: Jonathan Belcher and Jonathan Lamar - The Kunneth and Universal Coefficient Theorems
Class 39: Part 1 by Sebastian Bozlee - Brown Functors
Class 39: Part 2 by Cherry Ng - Brown Representability
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 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