Introduction to Topological Manifolds

The book "Introduction to Topological Manifolds" by John M. Lee provides a solid introduction to the theory of manifolds at the level of beginning graduate studies. It covers the fundamental topological concepts necessary for understanding manifolds in the fields of differential geometry and algebraic topology. The philosophy of the book is to develop these ideas both rigorously and economically, with a focus on clear geometric intuition. The second edition has been extensively revised and includes significant updates, such as an introduction to CW complexes and expanded treatments of manifolds with boundary and local compactness. This textbook is designed to be used for an introductory graduate seminar on the geometry and topology of manifolds and is accessible to students who have completed a solid undergraduate degree in mathematics.