Topology

Topology, 2nd Edition is designed to provide instructors with a convenient single-text resource for bridging between general (point?set) and algebraic topology courses. The book is organized into two distinct sections that each cover core topics suitable for one-semester courses. Following the foundational material, it offers greatly expanded coverage of algebraic topology including the fundamental group, covering spaces, applications to planar topology (e.g. Jordan curve theorem), classification of compact surfaces, and an additional final chapter that ties into group theory itself. Optional advanced topics and applications round out the narrative for flexibility depending on course needs.