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Algebraic topology

Most popular at the top

  • Basic Bundle Theory and K-cohomology Invariantsby Dale Husemoller; M. Joachim; Branislav Jurco; Martin Schottenloher

    Springer 2007; US$ 99.00

    Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One... more...

  • Suites de Sturm, indice de Maslov et périodicité de Bott (Progress in Mathematics) (French Edition)by Jean Barge; Jean Lannes

    Springer 2008; US$ 69.95

    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 un... more...

  • Braid Groupsby Christian Kassel

    Springer 2008; US$ 64.95

    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

    Oxford University Press, UK 2008; US$ 55.00

    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. - ;Rational homotopy is a very powerful tool for differential topology and... more...

  • From Quantum Cohomology to Integrable Systemsby Martin A. Guest

    Oxford University Press, UK 2008; US$ 94.99

    This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas of traditional mathematics and new areas such as mirror symmetry. Aimed at graduate students in mathematics as well as theoretical physicists, the text assumes basic familiarity with differential equations and cohomology. - ;Quantum cohomology... more...

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

    Springer 2009; US$ 129.00

    Describes important techniques of stable homotopy theory, applying them to the long-standing problem of the existence of framed manifolds with odd Arf-Kervaire invariant. This work opens with an account of the necessary algebraic topology background. more...

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

    Wiley 2009; US$ 292.00

    "This is a fascinating book mixing geometry, topology and probability theory..." ( London Mathematical Society Bulletin , Vol 32, 2000) "The potential value that his volume should have to researchers in many areas for years to come." ( Short Book Reviews , August 2000) "I would like to conclude this review by strongly recommending that geodists... more...