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Rating: Summary: A good resource for Topology and Analysis study! Review: This book is especially helpful for studying subjects such as countable & uncountable sets, cardinal & ordinal numbers, metric spaces, and compactness, connectedness, and completeness of topological spaces. Keep in mind that this book will cover the most common type of questions that you will find in a Topology text. If you are using Munkres or Mendelson with your course, the Topology Problem Solver will not answer every question in those texts, but it will familiarize you with the concepts you will need to understand. Plus it gives you a good style to model your assignment proofs. I recommend using three books in a introductory Topology course: your own class text (preferably Munkrers or Mendelson), the Topology Problem Solver by REA and Shaum's General Topology Outline by Lipschutz. With all these resources, and some moderate study, you should be ahead of most of the other students in your class.
Rating: Summary: A good resource for Topology and Analysis study! Review: This is one of the poorest books on topology have have ever had the misfortune to purchase. There are several problems with it.1. The typesetting is horrible 2. The notation is poor 3. The choice of material is very questionable (a good portion of the material has nothing whatsoever to do with topology, but rather with set theory and analysis). It goes without saying that there is very little focus on algebraic topology. 4. The "problems" mainly consist of "Prove this..", where "this turns out to be a standard theorem proved in most any text or "Describe that..", where "that" turns out to be a standard definition defined in most any text. A "real" topology problem solver would include solutions to the types of problems found in Munkres/Lee/Massey.
Rating: Summary: Don't waste your money Review: This is one of the poorest books on topology have have ever had the misfortune to purchase. There are several problems with it. 1. The typesetting is horrible 2. The notation is poor 3. The choice of material is very questionable (a good portion of the material has nothing whatsoever to do with topology, but rather with set theory and analysis). It goes without saying that there is very little focus on algebraic topology. 4. The "problems" mainly consist of "Prove this..", where "this turns out to be a standard theorem proved in most any text or "Describe that..", where "that" turns out to be a standard definition defined in most any text. A "real" topology problem solver would include solutions to the types of problems found in Munkres/Lee/Massey.
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