Title: Algebraic Topology
Instructor: Professor Joel M. Cohen
Office: MTH 2313
Telephone: (301)405-5109, Cell phone: ask
Class Time: T-TH 9:30 - 10:40 pm
Location: Math 2400.
Prerequisite: Math 730. In particular, I assume
knowledge of Math 730 as taught by Sarah Yeakel in Fall
2018. See http://www2.math.umd.edu/~syeakel/math730f18.html
for contents. You may have to copy this URL and paste to get
it to work or try this:
Main Text: Algebraic
A. Hatcher, Download Version
Auxiliary Text: Topology and Geometry, G. Bredon, Springer-Verlag, 1993
Office Hours: T-TH 11:00 am-12:00
pm. If you cannot see me during those hours, send me email
or ask me in class to make an appointment for a different time.
Course Contents: Singular cohomology, cup products,
Poincaré duality, Eilenberg-Steenrod axioms, Whitehead and
Hurewicz theorems, universal coefficient theorem, and other topics
to be decided.
Grading: There will be regular homework, a take-home midterm and a final (possibly take-home). Approximately once each week there will be a graded homework assignment. Students may consult one another on homework assignments, but should not write anything they do not understand.
The components of the final semester grade are
W. Massey, Algebraic Topology, An Introduction, Springer-Verlag, 1997.
Greenberg and Harper, Algebraic Topology, A First Course, Benjamin/Cummings, 1981.