Course Meeting Times

Lectures: 3 sessions / week, 1 hour / session


18.905 Algebraic Topology I


This course continues the introduction to algebraic topology from 18.905. Topics include basic homotopy theory, classifying spaces, spectral sequences, characteristic classes, Steenrod operations, and cohomology operations.

Lecture Notes and References

There is no required textbook, but lecture notes are provided. Often a reference is also provided to cover details not discussed in lecture.

Assignments and Exams

There are 6 problem sets assigned for the semester. There are no exams.


The course grade is based on homework assignments.

Schedule Note

Four days of the original lecture schedule were omitted and the last half of the course was conducted online because of the COVID-19 pandemic.