Instructor: Sergei Chmutov
Classes: July 18 --- August 5.
Monday, Tuesday, Wednesday, Thursday, Friday, 1:30 - 2:20 p.m. at CC-326.
Students are welcome to attend my undergraduate research working group
"Knots and Graphs" as well:
1. Point-set topology.
Open, closed sets. Quotient topology. Compactness. Continuity. Homeomorphisms. Manifolds.
The Jourdan curve theorem.                 Handout 1
Orientability. Examples. Surfaces with boundary.                 Handout 2
Chord diagrams as surfaces with boundary. Classification of 2-manifolds. Euler characteristic.                 Handout 3
3. Fundamental group.
Homotopy. Fundamental group. Examples.
C. Wayne Patty, Foundation of Topology. Jones and Bartlett Publishers, 2009.
W. Massey, A Basic course in algebraic topology. Springer-Verlag, 1991.
J. Scott Carter, How surfaces intersect in space: an introduction to topology. World Scientific, 1995.