The majority of the notes below were written by Bill Menasco with additional sections (see appendices and annotations) , comments, exercises, and solutions written by Justin Haverlick, Seth Hovland, and Arya Vadnere for a course on homology theory taken in the Fall of 2022.
Additional References for this course were: Algebraic Topology (Hatcher), Homology Theory (Vick), Characteristic Classes (Milnor), Introduction to Smooth Manifolds (Lee)