Homology theory an introduction to algebraic topology graduate texts in mathematics 2nd ed 1994 softcover reprint of the original 2nd ed 1994 edition by james w vick author visit amazons james w vick page find all the books read about the author and more . Homology theory an introduction to algebraic topology author james w vick published by springer new york isbn 978 1 4612 6933 5 doi 101007 978 1 4612 0881 5 this book is designed to be an introduction to some of the basic ideas in the field of algebraic topology in particular it is devoted to the foundations and applications of homology theory. This self contained treatment assumes only some knowledge of real numbers and real analysis the first three chapters focus on the basics of point set topology after which the text proceeds to homology groups and continuous mapping barycentric subdivision and simplicial complexes exercises form an integral part of the text 1961 edition. This is a course on the singular homology of topological spaces topics include singular homology cw complexes homological algebra cohomology and poincare duality vick james w homology theory an introduction to algebraic topology academic press 1973 isbn 9780127212500 preview with google books efficient. The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology new generations of young mathematicians have been trained and classical problems have been solved particularly through the application of geometry and knot theory
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