Math 443 Algebraic Topology Spring, 2002 Course description  Lecture notes    Instructor Information Instructor: Office Hours: Email: Doug Ravenel Hylan 918 Phone: 275-9421 Tuesday/Thursday 1:00-2:00 doug@ravenel.net   Class Meetings CRN  Time  Place  56762 TR 2:00-3:15 Hylan 1101  Occasional alternate times to be announced   Links Allen Hatcher's book Algebraic Topology Ran Levi's Geometric Topology course Neil Strickland's Algebraic Topology course The seven bridges of Königsberg Platonic solids and Euler's number Seventeen Proofs of Euler's Formula: V-E+F=2  A Proof of Euler's Formula THE MÖBIUS BAND THE KLEIN BOTTLE THE BORROMEAN RINGS Boy's Surface (animation) Math That Makes You Go Wow  A Multi-Disciplinary Exploration of Non-Orientable Surfaces The Hopf fibration  Fibers over concentric circles Colored visualization Tubular neighborhoods of nine fibers Three and four dimensional polyhedra   Handouts (you will need Adobe Acrobat or a  dvi driver to read some of these) Homework due February 12 Homework due March 19 Solution to the extra credit problem on SO(4) Solution to the five lemma problem Homework due April 11 Homework due May 2 Hints on homological algebra

Leohard Euler 1707-1783 Click here for more pictures .  Euler is also depicted on the  Swiss 10 franc note .    Jules Henri Poincaré 1854-1912 Click here for more pictures .  Solomon Lefschetz 1884-1972 Norman Earl Steenrod 1910-1971 Samuel Eilenberg 1913-1998

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This page was last revised on May 3, 2002, by Doug Ravenel .