Course Meeting Times

Lectures: 3 sessions / week, 1 hour / session


Algebraic Topology I (18.905)


I will not be following any particular book, and you certainly are not required to purchase any book for the course. The following books are the primary references I am using:

Buy at Amazon Hatcher. Algebraic Topology. Cambridge, New York, NY: Cambridge University Press, 2002. ISBN: 052179160X. (Available online.)

Buy at Amazon May. A Concise Course in Algebraic Topology. Chicago, IL: University of Chicago Press, 1999. ISBN: 0226511820 (cloth: alk. paper) and 0226511839 (pbk.: alk. paper). (PDF - 1.3 MB) (Available online.)

Hatcher. Spectral Sequences in Algebraic Topology. Chapter 1. (Available online.)

Buy at Amazon Milnor and Stasheff. Characteristic Classes. Princeton, NJ: Princeton University Press, 1974. ISBN: 0691081220.


The course grade is based entirely on the 12 problem sets. There are no exams for this course.