Introduction to Topological Manifolds (Graduate Texts in Mathematics, 202) Second Edition 2011

I went with some course on YouTube that went with this book, this book + the YouTube course was 👌👌.Book came also in great shape.

I went through this book and did all exercises and problems except Chapter 12. It is very worthwhile to read this book thoroughly. Highly recommend to beginners on Topology. Here are some major points that makes this book extraordinary:1. Most of topology books contains a lot of hand-waving, which is not suitable for beginners. When reading these books, the boundary of what is obvious and what is not becomes more and more blur. But this book is doing every thing very rigorous. There are only a few of hand-waiving in the book. The author always laid out necessary foundation for readers to fill the gap by themselves.2. This book focuses on manifolds and is not intent to give the most general results. It doesn't deal with many strange spaces or examples at least in the main text. In this way, reader could have a good whole picture, instead of losing vision on some special points3. Theorems and Lemmas are organized super super nicely. Theorems are used to paint the picture while Lemmas builds the toolbox.4. The exercises are generally easy. Problems are not too hard. Most of the answers can be found on stackoverflow as the author suggested.

I think the author has a great ability to explain things in clear and simple way, it is one of the best books I found about this topic.

Lee's book is very good, and I am using it for self-study, which is why I give 5 stars (for content).EDIT May 2019: Springer uses print-on-demand technology, hence the inferior printing quality. Don't know what can be done about it.

Good first read through for anyone beginning a study of topological concepts. Anyone having trouble with the preliminary chapters might try this book in conjunction with Munkres and Ken Ross's 'Elementary Analysis.'

Best book of topographical manifold .

The author has done an outstanding job writing this book. Highly recommend this book.

The book is formal, which can be a bad thing, but the book is filled with discussions / intuition & nice drawings to make it clear to read.The second half of the book is on Algebraic Topology and covers topics in a first course on Algebraic Topology.Overall I highly recommend reading this book, especially for someone who knows the basics of point set topology.