ABSTRACT
Like all branches of mathematics, algebraic topology and homology have a particular lexicon. This chapter intends to immerse the reader in the essential techniques and vocabulary of group theory, topology, and homology as well as providing illustrative examples for an accessible yet rigorous introduction to these topics. In this regard, the essential components of the theory required to present homology are introduced in an accessible way. This chapter does not aim to be a mathematical compendium.
