Introduction to Topological Manifolds John Lee is an English-language textbook that offers a solid introduction to topological manifolds. This book is designed for beginning graduate students in mathematics and covers the essential topological concepts needed for further study in differential geometry, algebraic topology, and related fields.
The second edition has been thoroughly revised, with extensive attention to topics such as manifolds with boundary, local compactness, group actions, and paracompactness. An important part is the new introduction to CW-complexes, which replaces the earlier focus on simplicial complexes. Due to the clear and economical presentation, with minimal prerequisites, this book encourages a deep understanding of topological manifolds.
This book connects with fields such as topology and algebraic topology and serves as preparation for more advanced texts such as the Introduction to Smooth Manifolds by the same author.
Series: Graduate Texts in Mathematics