Math 734 Joel M. Cohen (Spring 2019)

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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.

Grader:  Daniel Kaufman

Prerequisite: Math 730.  In particular, I assume knowledge of Math 730 as taught by Sarah Yeakel in Fall 2018.  See for contents.  You may have to copy this URL and paste to get it to work or try this:  Math 730

Main Text:  Algebraic Topology, 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

Homework 30%
Midterms 30%
Final Exam 40%

Additional Reading:

W. Massey, Algebraic Topology, An Introduction, Springer-Verlag, 1997.

Greenberg and Harper, Algebraic Topology, A First Course, Benjamin/Cummings, 1981.