This course will be an introduction to algebraic topology. Materials we will cover include: fundamental group, van Kampen theorem, covering spaces; singular homology theory with applications, Brouwer's fixed-point theorem; also cohomology theory if we have more time. We will emphasize on computing these algebraic invariants by going over many examples.
Hatcher: Algebraic Topology
Point set topology, abstract algebra
Sections Taught This Semester:
For more information on instructors and sections for Spring 2018, please see our Spring 2018 Teaching Schedule Page
For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page