Time:
MWF 2:00 - 2:50
Room:
301 TH
Grading:
Homework: 50%Midterm: 20%
Final: 30%
Office Hours:
MWF 11-12
Text:
William S. Massey, Algebraic Topology: An Introduction,
Springer Graduate Texts in Mathematics.
Plan:
(1 week) Quotient spaces (Notes and Exercises)
(2 weeks) Classification of surfaces
(2 weeks) Paths and the fundamental group (Notes and Exercises)
(1 week) General group actions, orbits, stabilizers.
(2 weeks) Actions by groups of homeomorphisms and their quotient spaces. Definition and examples of covering spaces.
(2 weeks) Free groups, free products, group presentations
(1 week) The Seifert-Van Kampen theorem
(3 weeks) Classification of covering spaces
(1 week) Applications