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Algebraic topology

Most popular at the top

  • The Heart of Cohomologyby Goro Kato

    Springer 2006; US$ 135.00

    Explains fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, drived functors, spectral sequences, derived categories. This work gives applications to sheaf cohomology. It also provides cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family. more...

  • Rigid Cohomologyby Bernard Le Stum

    Cambridge University Press 2007; US$ 110.00

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

  • Equivariant Degree Theoryby Alfonso Vignoli; Jorge Ize

    De Gruyter 2003; US$ 196.00

    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 in a self-contained... 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...

  • 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$ 240.00

    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...

  • 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...

  • 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...