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Henle covers an astonishing amount of ground in this book, from basic concepts such as compactness and connectedness to integral homology and continuous transformations. The emphasis is on algebraic topology, although point set topology is touched on in an introductory chapter and a summary of key results at the end of the book. The style is clear, with touches of humour. For example, an introductory remark to the proof of the classification theorem for surfaces, which takes up 5 pages, promises that "the proof, although long, is thoroughly enjoyable"; and the topic of orientability is introduced with a "fable" about a topologist who moved from a cylinder to a Mobius strip. The only improvement I can think of would be if the Hints and Answers section covered a higher proportion of the book's thought-provoking exercises.
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