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OverviewThis book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology. The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialised topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex. With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds. Full Product DetailsAuthor: Jennifer SchultensPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.675kg ISBN: 9781470410209ISBN 10: 1470410206 Pages: 289 Publication Date: 30 May 2014 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsPerspectives on manifolds Surfaces 3-manifolds Knots and links in 3-manifolds Triangulated 3-manifolds Heegaard splittings Further topics General position Morse functions Bibliography IndexReviews“…Schultens has written an excellent book that richly illustrates the scope of her chosen subject. It is very well written, clear and explicit in its presentation. There are plenty of exercises, and the book has been laboratory tested, so to speak, since it grew out of Schulten’s graduate course on 3-manifolds at Emory University … it will also serve very well indeed as a source for self-study.” -- MAA oaSchultens has written an excellent book that richly illustrates the scope of her chosen subject. It is very well written, clear and explicit in its presentation. There are plenty of exercises, and the book has been laboratory tested, so to speak, since it grew out of SchultenAEs graduate course on 3-manifolds at Emory University a it will also serve very well indeed as a source for self-study.o -- MAA Author InformationJennifer Schultens, University of California, Davis, CA. Tab Content 6Author Website:Countries AvailableAll regions |
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