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Overview"""Lusternik-Schnirelmann category is like a Picasso painting. Looking at category from different perspectives produces completely different impressions of category's beauty and applicability."" -from the Introduction Lusternik-Schnirelmann category is a subject with ties to both algebraic topology and dynamical systems. The authors take LS-category as the central theme, and then develop topics in topology and dynamics around it. Included are exercises and many examples. The book presents the material in a rich, expository style. The book provides a unified approach to LS-category, including foundational material on homotopy theoretic aspects, the Lusternik-Schnirelmann theorem on critical points, and more advanced topics such as Hopf invariants, the construction of functions with few critical points, connections with symplectic geometry, the complexity of algorithms, and category of $3$-manifolds. This is the first book to synthesize these topics. It takes readers from the very basics of the subject to the state of the art. Prerequisites are few: two semesters of algebraic topology and, perhaps, differential topology. It is suitable for graduate students and researchers interested in algebraic topology and dynamical systems." Full Product DetailsAuthor: Octav Cornea , Gregory Lupton (Cleveland State University, Ohio, USA) , John Oprea , Daniel TanrePublisher: American Mathematical Society Imprint: American Mathematical Society Edition: illustrated edition Volume: No. 103 Dimensions: Width: 18.40cm , Height: 2.30cm , Length: 26.70cm Weight: 0.815kg ISBN: 9780821834046ISBN 10: 0821834045 Pages: 330 Publication Date: 30 June 2003 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational 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 ContentsIntroduction to LS-category Lower bounds for LS-category Upper bounds for category Localization and category Rational homotopy and category Hopf invariants Category and critical points Category and symplectic topology Examples, computations and extensions Topology and analysis Basic homotopy Bibliography Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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