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Topology: An Introduction with Application to Topological Groupsby George Mccarty
Synopses & ReviewsPublisher Comments:"Admirably meets the topology requirements for the pregraduate training of research mathematicians."American Mathematical Monthly Crucial to modern mathematics, topology is equally essential to many other disciplines, from quantum mechanics to sociology. This stimulating introduction employs the language of point set topology to define and discuss topological groups. The text examines settheoretic topology and its applications in function spaces, as well as homotopy and the fundamental group. This new theoretical knowledge is applied to concrete problems, such as the calculation of the fundamental group of the circle and a proof of the fundamental theorem of algebra. The abstract development concludes with the classification of topological groups by equivalence under local isomorphism. Throughout this text, a sustained geometric development functions as a single thread of reasoning that unifies the topological course. Wellchosen exercises, along with a selection of problems in each chapter that contain interesting applications and further theory, help solidify students' working knowledge of topology and its applications. Synopsis:Covers sets and functions, groups, metric spaces, topologies, topological groups, compactness and connectedness, function spaces, the fundamental group, the fundamental group of the circle, locally isomorphic groups, more. 1967 edition. Synopsis:This stimulating introduction employs the language of point set topology to define and discuss topological groups. It examines settheoretic topology and its applications in function spaces as well as homotopy and the fundamental group. Wellchosen exercises and problems serve as reinforcements. 1967 edition. Includes 99 illustrations.
Synopsis:This superb text offers a thorough background in elementary point set topology. Topics include sets and functions, groups, metric spaces, topologies, topological groups, compactness and connectedness, function spaces, the fundamental group, the fundamental group of the circle, locally isomorphic groups, and more. Exercises and problems appear throughout the text. 1967 edition. What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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