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Homotopy theory

Most popular at the top

  • Homotopy Theory of C*-Algebrasby Paul Arne Østvær

    Springer Basel 2010; US$ 69.99

    Homotopy theory and C* algebras are central to contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras that uses the concept of merging C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. more...

  • Homotopy of Extremal Problemsby Stanislav V. Emelyanov; Sergey K. Korovin; Nikolai A. Bobylev; Alexander V. Bulatov

    De Gruyter 2007; US$ 238.00

    This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications... more...

  • Hyperbolic Problems: Theory, Numerics and Applications (Volume 2)by Song Jiang; Tatsien Li

    World Scientific Publishing Company 2012; US$ 141.00

    This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical... more...

  • Lectures on Homotopy Theoryby R.A. Piccinini

    Elsevier Science 1992; US$ 72.95

    The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the n th homotopy group of the sphere S n , for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of S n are... more...

  • Shape and Shape Theoryby D. G. Kendall; D. Barden; T. K. Carne; H. Le

    Wiley 2009; US$ 292.00

    Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians,... more...

  • Spectra and the Steenrod Algebraby H.R. Margolis

    Elsevier Science 2011; US$ 148.25

    I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories.... more...

  • Stable Homotopy Around the Arf-Kervaire Invariantby Victor P. Snaith

    Birkhäuser Basel 2009; US$ 129.00

    This book describes key techniques of stable homotopy theory, classical and new, and applies them to the unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. It introduces a new technique called "upper triangular technology." more...

  • Syzygies and Homotopy Theoryby F.E.A. Johnson

    Springer London 2011; US$ 109.00

    This book explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents a systematic rehabilitation of Hilbert's method of syzygies in the context of non-simply connected homotopy theory. more...

  • ZZ/2 - Homotopy Theoryby M. C. Crabb

    Cambridge University Press 1980; US$ 52.00

    This account is a study of twofold symmetry in algebraic topology. more...

  • Beyond Perturbationby Shijun Liao

    CRC Press 2003; US$ 159.95

    Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear... more...