When reading this book, I kept on wondering how well it will serve as the textbook for a semester-long high school intro to topology class! The authors placed great effort in making this book rigorous and rich in material yet at the same time very accessible (at least the first part) to the average high school junior or senior who's interested in higher math. The book builds up the fundamental concepts in general topology rather slowly to ease their digestion, and provides abundant examples along the way. Following the definitions and examples are celebrated theorems and their proofs that truly demonstrate the power and beauty of topology as well as mathematics in general. In fact, the whole book revolve around the "existence theorem" in one and two dimension (in one dimension, it's also known as the intermediate value theorem in calculus). This theorem is not only important in its own right, it is also intimately connected (not in the topological sense) with many concepts in topology. To prove the theorem for a disk in two dimension, the authors go through a thorough study of winding numbers and later on introduces vector fields, concept of homotopy, and interesting theorems like fixed-point theorem and ham-sandwich theorem. The later chapters of the book where these things are mentioned are rather obscure and difficult to understand, rather unlike the spirit of the earlier part; but by the time a high school senior gets to that point, he or she will probably be a mathematician enough to willingly dwell into these abstract wonders.

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