MATH 6510 - Algebraic Topology I

Allen Hatcher, spring 2015.

This will be the standard introduction to Algebraic Topology. The main topics will be the fundamental group, covering spaces, and homology theory, as in Chapters 1 and 2 of my textbook (available online for free, so there's no need to buy the book). If time permits, we may also introduce cohomology theory. Prerequisites are a little point-set topology and a little algebra, mainly group theory, as covered in standard undergraduate courses on these topics.