The exhaustive list of topics in Algebraic Topology in which we provide Help with Homework Assignment and Help with Project is as follows:

- Preliminaries from general topology
- Preliminaries from general topology
- Further preliminaries from general topology
- Topological groups
- Paths, homotopies and the fundamental group
- Categories and functors
- Functorial properties of the fundamental group
- Brouwer’s theorem and its applications
- Homotopies of maps. Deformation retracts
- Fundamental group of the circle
- Covering projections
- Lifting of paths and homotopies
- Action of ?1(X, x0) on the fibers p-1(x0)
- Lifting criterion
- Deck transformations
- Orbit spaces
- Fundamental groups of SO(3, R) and SO(4, R)
- Coproducts and push-outs
- Adjunction spaces
- Seifert Van Kampen theorem
- Homology theory
- Singular complex of a topological space
- Homology groups and theori functoriality
- Abelianization of the fundamental group
- Homotopy invariance of homology
- Small simplicies
- Mayer Vietoris sequence
- Maps of spheres
- Relative homology
- Excision theorem
- Inductive limits
- Jordan Brouwer separation theorem