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Algebraic topology

Most popular at the top

  • The Geometry of Spherical Space Form Groupsby P.B. Gilkey

    World Scientific Publishing Company 1989; US$ 129.00

    In this volume, the geometry of spherical space form groups is studied using the eta invariant. The author reviews the analytical properties of the eta invariant of Atiyah-Patodi-Singer and describes how the eta invariant gives rise to torsion invariants in both K-theory and equivariant bordism. The eta invariant is used to compute the K-theory of... more...

  • Selected Works of Wen-Tsun Wuby Wen Tsun Wu

    World Scientific Publishing Company 2008; US$ 234.00

    This important book presents all the major works of Professor Wen-Tsun Wu, a widely respected Chinese mathematician who has made great contributions in the fields of topology and computer mathematics throughout his research career.The book covers Wu's papers from 1948 to 2005 and provides a comprehensive overview of his major achievements in... more...

  • Intersection Cohomologyby Armand Borel

    Springer 2009; US$ 49.99

    This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory... more...

  • Symmetric Bendsby Roger E. Miles

    World Scientific Publishing Company 1995; US$ 68.00

    A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: “Is there a ‘best’ bend and, if so, what is it?”Most of the well-known bends happen to be symmetric... more...

  • Hypoelliptic Laplacian and Bott?Chern Cohomologyby Jean-Michel Bismut

    Springer International Publishing 2013; US$ 109.00

    This book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann?Roch?Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott?Chern cohomology. more...

  • Advances in Homotopy Theoryby S. Salamon; B. Steer; W. Sutherland

    Cambridge University Press 1989; US$ 52.00

    This volume records the lectures given at a conference to celebrate Professor Ioan James' 60th birthday. more...

  • The Elements of Cantor Setsby Robert W. Vallin

    Wiley 2013; US$ 92.95

    A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra. The author fills a gap in the current literature... more...

  • Spectra and the Steenrod Algebraby H.R. Margolis

    Elsevier Science 2011; US$ 148.25

    Spectra and the Steenrod Algebra more...

  • Basic Algebraic Topologyby Anant R. Shastri

    CRC Press 2013; US$ 94.95

    Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes,... more...

  • Advances in the Homotopy Analysis Methodby Shijun Liao

    World Scientific Publishing Company 2013; US$ 163.00

    Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness... more...