Book Recommendations: Combinatorial Group Theory and Topological Prerequisites.

I assume you're familiar with the standard books in combinatorial group theory.

For combinatorial group theory and topology, try these books:

• Classical Topology and Combinatorial Group Theory by John Stilwell

• Combinatorial Group Theory: A Topological Approach by Daniel E. Cohen

Stilwell says in the preface:

The only prerequisites are some familiarity with elementary set theory, coordinate geometry and linear algebra, $\epsilon$-$\delta$ arguments as in rigorous calculus, and the group concept.

Cohen assumes familiarity with point-set topology.