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Algebraic topology

Most popular at the top

  • Using the Borsuk-Ulam Theoremby A. Björner; G.M. Ziegler; Jiri Matousek

    Springer 2008; US$ 49.95

    A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists... more...

  • Algebraische Topologieby Wolfgang Lück

    Springer 2005; US$ 39.95

    Hauptgegenstand des Buches sind Homologie-, Kohomologietheorien und Mannigfaltigkeiten. In den ersten acht Kapiteln werden Begriffe wie Homologie, CW-Komplexe, Produkte und Poincare Dualitat eingefuhrt und deren Anwendungen diskutiert. In den davon unabha more...

  • Surface Topologyby P A Firby; C F Gardiner

    Elsevier Science 2001; US$ 85.00

    This updated and revised edition of a widely acclaimed and successful text for undergraduates examines topology of recent compact surfaces through the development of simple ideas in plane geometry. Containing over 171 diagrams, the approach allows for a straightforward treatment of its subject area. It is particularly attractive for its wealth of applications... more...

  • Topics in Low-Dimensional Topologyby A. Banyaga; H. Movahedi-Lankarani; R. Wells

    World Scientific Publishing Company 1999; US$ 47.00

    Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.... more...

  • General Cohomology Theory and K-Theoryby P. J. Hilton

    Cambridge University Press 1971; US$ 44.00

    These notes constitute a faithful record of a short course of lectures given in São Paulo, Brazil, in the summer of 1968. more...

  • New Developments in Topologyby Graeme Segal

    Cambridge University Press 1974; US$ 56.00

    Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in 1972 have submitted their contributions for publication in this volume. more...

  • Algebraic Topology via Differential Geometryby M. Karoubi; C. Leruste

    Cambridge University Press 1988; US$ 76.00

    In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed... more...

  • More Concise Algebraic Topologyby J. P. May; K. Ponto

    University of Chicago Press 2011; US$ 52.00

    With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard... more...

  • Graph Colouring and Variationsby D. de Werra; A. Hertz

    Elsevier Science 1989; US$ 72.95

    Graph Colouring and Variations more...

  • Topologyby Paul L. Shick

    Wiley 2011; US$ 139.00

    The essentials of point-set topology, complete with motivation and numerous examples Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students... more...