Math 443 Algebraic topology.
Fall, 2014.
Lecture notes.

This page will give handwritten notes for each lecture as the semester progresses. It is written in reverse chronological order, so you see the most recent notes first. However this means that helpful links appear when a topic is first mentioned chronologically, meaning the last time it appears below.

Here are the lecture notes from Spring 2014 and from previous years by recursion.

Handwritten lecture notes
and links shown in class

Monday 2:00

Wednesday 2:00

December 8, 2014
Course evaluation link
John Baez' Platonic solids page
Platonic solids and Bott periodicity
December 10, 2014
Wanderers video
Wikipedia page on Bernoulli numbers
Review for final exam
The J-homomorphism and the James construction
December 1, 2014
Hairy ball video
The Euler characteristic and related matters
December 3, 2014
A calculation with characteristic classes
November 24, 2014
More about vector bundles
No notes available
November 24, 2014
THANKSGIVING BREAK
November 17, 2014
Hawking Star Trek video
>Poincare duality, cup products and intersections
November 19, 2014
Hawking Santa video
Vector bundles
November 10, 2014
Sophie Germain page
C-CW complexes and chain complexes
November 12, 2014
Cup products and the Hopf invariant
November 3, 2014
Paul Erdos video
Homological algebra II
November 5, 2014
The Künneth theorem, CW-complexes and cellular homology
Similar notes of April 4, 2014
October 27, 2014
Gauss page
The Homotopy and Excision Axioms
October 29, 2014
2011 Pi Day videos 1 and 2
Homological algebra
October 20, 2014
Short Arf video in Turkish
Tensor products and the Meyer-Vietoris theorem
October 22, 2014
XKCD A webcomic of romance, sarcasm, math, and language.
Singular homology
October 13, 2014
FALL BREAK
October 15, 2014
Chain complexes
October 6, 2014
Alan Turing page
Covering spaces
October 8, 2014
A lovely phone call
The universal covering spaces
September 29, 2014
Two videos about the belt trick and the spin of the electron
    one     two
The Borsuk-Ulam, Ham Sandwich and van Kampen theorems
October 1, 2014
Fermat's Last Theorem page
The proof of the van Kampen theorems
September 22, 2014
Archimedes Palimpsest video
Archimedes Palimpsest page
More category theory
September 24, 2014
A Beautiful Mind
More category theory and applications of the fundamental group
September 15, 2014
Laniakea video
Hopf map video
CW-complexes and the fundamental group of the circle
September 17, 2014
Archimedes biography page
More about the fundamental group of the circle
and introduction to category theory
September 8, 2014
More about homotopy groups
Notes from a similar lecture on 1/17/14
September 10, 2014
UR Prank video
Projective spaces and SO(3)
September 1, 2014
LABOR DAY
September 3, 2014
Defining the fundamental group
Notes from a similar lecture on 1/15/14



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