Explore the foundational concepts of Algebraic Topology with this comprehensive introductory text from The Bookish Owl. Designed for first-year graduate mathematics students and ideal for self-study, this book offers broad coverage and a readable exposition. Master essential topics like the fundamental group, covering spaces, homology and cohomology, higher homotopy groups, and general homotopy theory. The author’s emphasis on geometric aspects fosters intuition, while numerous examples and exercises solidify understanding. Discover optional advanced topics often excluded from standard courses, including Bockstein and transfer homomorphisms, H-spaces, Hopf algebras, and Steenrod squares. This essential resource is perfect for anyone seeking to delve into the geometric beauty of algebraic topology.