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Topology (2nd Edition)
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This is the standard into to point-set topology for a reason. It covers general topology very well, with easy-to-follow proofs and exercises that are actually possible to do. The problem is that the algebraic topology portion of this text (around 1/3 of the whole thing), is vastly inferior to Hatcher's "Algebraic Topology" book, which happens to be f... »
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Poincare's Prize: The Hundred-Year Quest to Solve One of Math's Greatest Puzzles
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In 1904, Henri Poincare published a paper in which he asked: " Is it possible that the fundamental group of a manifold be trivial and yet the manifold not be homeomorphic to a sphere ? " and added that " this question would lead us too far astray."
For the next hundred years, mathematicians from different parts of the world chased a solution , so... »
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Introduction to Smooth Manifolds
My field lies somewhere at the intersection of algebra, geometry and physics. This is a very handy reference, meaning a few pages accessible and contains ... »
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Counterexamples in Topology
I have found this book to be confusing to use and therefore of little to no value. If I had seen in a bookstore and not Online I would not have purchased ... »
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Introduction to Topology: Third Edition
This is a wonderful book to start your topological studies with. It has many problems for one to do so one can practice and study and have the ability to... »
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Buy Topology 2nd Edition Topology Fractals Patterns Chaos Discovering