Ian Paredes's Reviews > Topology
rough book to get through and it doesn't motivate the concepts of a topological space right away from metric spaces, but this is a minor oversight and doesn't really detract from the book's strengths. i haven't read this book in a while so i can't really give a detailed account about it's strengths and weaknesses, but there's a reason why it's a standard text in most universities here in the united states. i recommend the reader to supplement this text with mendelson's topology text, which i believe is published by dover; his text motivates the ideas from metric spaces, which i believe is a better approach when dealing with an audience who have never even dealt with any notion of topological neighborhoods outside of, say, introductory real analysis.
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