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Math 21-101 Spring 2016
Freshman Seminar: The Hadwiger-Nelson Problem
Updated 20 January 2016
This calendar is subject to revision throughout the term.
- Monday, 11 January: Introductions, gumdrops.
- Wednesday, 13 January: Context: graph theory, graph coloring basics.
- Friday, 15 January: Context, continued. History, the 4-color Theorem(?).
- Monday, 18 January: Holiday
- Wednesday, 20 January: Uncountability by way of finiteness: De Bruijn-Erdos Theorem
- Friday, 22 January: Axiom of Choice, Zorn's Lemma (continued).
- Monday, 25 January: Finite graphs, and a proof of De Bruijn-Erdos
- Wednesday, 27 January What is density? Rationals, irrationals, and limits.
- Friday, 29 January: Close enough is not enough. Coloring Q^2.
- Monday, 1 February: What is size? Measurability, introduction.
- Wednesday, 3 February:Lebesgue measure, and why inifinity is weird.
- Friday, 5 February: Lebesgue measure, continued.
- Monday, 8 February: Measurable coloring and a new lower bound.
- Wednesday, 10 February: Measurable coloring, continued.
- Friday, 12 February:
- Monday, 15 February:
- Wednesday, 17 February:
- Friday, 19 February:
- Monday, 22 February:
- Wednesday, 24 February:
- Friday, 26 February: