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OverviewThis is a book of pictures that illustrate standard examples in low dimensional topology. The text starts at the most basic level (the intersection of coordinate planes) and gives hands-on constructions of the most beautiful examples in topology: the projective plane; Poincare's example of a homology sphere; lens spaces; knotted surfaces; 2-sphere eversions; and higher dimensional manifolds. The text carefully explains the importance of the examples and the techniques without being bogged down in a morass of technicalities. The book is a guide book to a wide variety of topics. It will be of value to undergraduates who want to learn geometric topology and to graduate students who want examples with which they can make computations and who need an elementary description of topological spaces. Finally, the book should be interesting to other scientists and mathematicians who want to learn some examples of topological spaces. Full Product DetailsAuthor: J Scott Carter (Univ Of South Alabama, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Edition: 2nd Revised edition Volume: 2 Dimensions: Width: 15.10cm , Height: 1.90cm , Length: 22.00cm Weight: 0.476kg ISBN: 9789810220662ISBN 10: 9810220669 Pages: 338 Publication Date: 01 May 1995 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback 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 ContentsClassification of orientable surfaces, and the meaning of space; examples of non-orientable surfaces including models of the projective plane and the Klein bottle; how curves fit on surfaces and gives a general discussion of knotted strings in space; some examples of other 3-dimensional spaces - the 3-dimensional sphere, lens spaces, the quaternionic projective space; movie techniques of studying surfaces in 4-dimensions - how to move among the standard examples of Klein bottles, movie move decomposition of turning the 2-sphere inside out; higher dimensional spaces.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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