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OverviewThis book is intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind the various concepts is emphasized. The text consists of material from the first five chapters of the author's earlier book, ALGEBRAIC TOPOLOGY: AN INTRODUCTION (GTM 56), together with almost all of the now out-of- print SINGULAR HOMOLOGY THEORY (GTM 70). The material from the earlier books has been carefully revised, corrected, and brought up to date. Full Product DetailsAuthor: William S. MasseyPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 1st Corrected ed. 1991. Corr. 3rd printing 1997 Volume: 127 Dimensions: Width: 15.50cm , Height: 2.60cm , Length: 23.50cm Weight: 1.780kg ISBN: 9780387974309ISBN 10: 038797430 Pages: 431 Publication Date: 06 March 1991 Audience: College/higher education , General/trade , Postgraduate, Research & Scholarly , General Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsW.S. MasseyA Basic Course in Algebraic Topology In the minds of many people algebraic topology is a subject which is esoteric, specialized, and disjoint from the overall sweep of mathematical thought. This straightforward introduction to the subject, by a recognized authority, aims to dispel that point of view by emphasizing: 1. the geometric motivation for the various concepts and 2. the applications to other areas. BULLETIN OF THE IRISH MATHEMATICS SOCIETY W.S. Massey A Basic Course in Algebraic Topology In the minds of many people algebraic topology is a subject which is a ~esoteric, specialized, and disjoint from the overall sweep of mathematical thought.a (TM) This straightforward introduction to the subject, by a recognized authority, aims to dispel that point of view by emphasizing: 1. the geometric motivation for the various concepts and 2. the applications to other areas. a BULLETIN OF THE IRISH MATHEMATICS SOCIETY W.S. Massey <p>A Basic Course in Algebraic Topology <p> In the minds of many people algebraic topology is a subject which is a ~esoteric, specialized, and disjoint from the overall sweep of mathematical thought.a (TM) This straightforward introduction to the subject, by a recognized authority, aims to dispel that point of view by emphasizing: 1. the geometric motivation for the various concepts and 2. the applications to other areas. a BULLETIN OF THE IRISH MATHEMATICS SOCIETY W.S. Massey A Basic Course in Algebraic Topology In the minds of many people algebraic topology is a subject which is a ~esoteric, specialized, and disjoint from the overall sweep of mathematical thought.a (TM) This straightforward introduction to the subject, by a recognized authority, aims to dispel that point of view by emphasizing: 1. the geometric motivation for the various concepts and 2. the applications to other areas. a BULLETIN OF THE IRISH MATHEMATICS SOCIETY Author InformationWilliam S. Massey (1920-2017) was an American mathematician known for his work in algebraic topology. The Blakers-Massey theorem and the Massey product were both named for him. His textbooks Singular Homology Theory and Algebraic Topology: An Introduction are also in the Graduate Texts in Mathematics series. Tab Content 6Author Website:Countries AvailableAll regions |