VERY GOOD: This book is in very good condition, showing only a few signs of use and wear. The pages are free of writing and the binding is tight.
Product Details
From the back cover: "The author of this wide-ranging introduction to point-set, algebraic, and differential topology has avoided the tiresome technicalities inherent in axiomatic treatments by limiting his study to Euclidean subspaces. This approach has also enabled him to develop extensively a number of topics central to topology itself as well as its applications in other areas of mathematics and science.
"In addition to the basic point-set topology of Euclidean spaces, the book covers elementary combinatorial techniques, including barycentric subdivisions, Sperner's Lemma, and the Brouwer Fixed Point Theorem; homotopy theory and the fundamental group, which examines—among other topics—maps of spheres and fundamental groups of the spheres; simplicial homology theory and homology groups of topological polyhedra, the Hopf Trace Theorem, and the Lefschetz Fixed Point Theorem; and differential techniques, including the Stone-Weierstrass Theorem, Morse functions, and smooth tangent vector fields."
BRIEF CONTENTS
Preface
Chapter 1 - Point-Set topology of Euclidean spaces
Chapter 2 - Elementary combinatorial techniques
Chapter 3 - Homotopy theory and the fundamental group
