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Algebraic topology

Most popular at the top

  • Equivariant Degree Theoryby Jorge Ize; Alfonso Vignoli

    De Gruyter 2003; US$ 159.79

    This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree... more...

  • Rigid Cohomologyby Bernard Le Stum

    Cambridge University Press 2007; US$ 116.00

    The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments. more...

  • Suites de Sturm, indice de Maslov et périodicité de Bottby Jean Barge; Jean Lannes

    Birkhäuser Basel 2008; US$ 44.77

    La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d?un polynôme à coefficients réels contenues dans un intervalle donné. L?objet principal de ce mémoire est de montrer qu?une généralisation adéquate de la théorie des suites de Sturm fournit entre autres choses: une notion d?indice de Maslov pour... more...

  • Braid Groupsby Christian Kassel; O. Dodane; Vladimir Turaev

    Springer New York 2008; US$ 46.91

    In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the... 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...

  • The Four-Color Problemby Oystein Ore

    Elsevier Science 2011; US$ 72.95

    The Four-Color Problem more...

  • The Mathematical Theory of Knots and Braidsby S. Moran

    Elsevier Science 2000; US$ 255.00

    This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is... more...

  • Algebraic Models in Geometryby Yves Félix; John Oprea; Daniel Tanré

    OUP Oxford 2008; US$ 62.99 US$ 56.69

    A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory. more...

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

    Birkhäuser Basel 2009; US$ 92.70

    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...

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

    Wiley 2009; US$ 301.00 US$ 260.87

    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...