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Algebraic topology

Most popular at the top

  • 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...

  • Homotopy Theoryby I. M. James

    Elsevier Science 2014; US$ 72.95

    Homotopy Theory contains all the published mathematical work of J. H. C. Whitehead, written between 1947 and 1955. This volume considers the study of simple homotopy types, particularly the realization of problem for homotopy types. It describes Whitehead's version of homotopy theory in terms of CW-complexes. This book is composed of 21 chapters and... more...

  • Elementary Topologyby Donald W. Blackett

    Elsevier Science 2014; US$ 72.95

    Elementary Topology: A Combinatorial and Algebraic Approach focuses on the application of algebraic methods to topological concepts and theorems. The publication first elaborates on some examples of surfaces and their classifications. Discussions focus on combinatorial invariants of a surface, combinatorial equivalence, surfaces and their equations,... more...

  • Knot Theoryby Vassily Manturov

    CRC Press 2004; US$ 132.95

    I. KNOTS, LINKS, AND INVARIANT POLYNOMIALS INTRODUCTION Basic Definitions REIDEMEISTER MOVES. KNOT ARITHMETICS Polygonal Links and Reidemeister Moves Knot Arithmetics and Seifert Surfaces LINKS IN 2 SURFACES IN R^3. SIMPLEST LINK INVARIANTS Knots in Surfaces. The Classiffcation of Torus Knots The Linking Coefficient The Arf Invariant The Colouring... more...

  • Topological Degree Theory and Applicationsby Yeol Je Cho; Yu-Qing Chen

    CRC Press 2006; US$ 115.95

    BROUWER DEGREE THEORY Continuous and Differentiable Functions Construction of Brouwer Degree Degree Theory for Functions in VMO Applications to ODEs Exercises LERAY-SCHAUDER DEGREE THEORY Compact Mappings Leray-Schauder Degree Leray-Schauder Degree for Multi-valued Mappings Applications to Bifurcations Applications to ODEs and PDEs Exercises... more...

  • Central Simple Algebras and Galois Cohomologyby Philippe Gille; Tamás Szamuely

    Cambridge University Press 2006; US$ 88.00

    The first modern, comprehensive introduction to central simple algebras for graduate students and researchers. more...

  • Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite

    Elsevier Science 2005; US$ 185.00

    This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology,... more...

  • Physical And Numerical Models In Knot Theoryby Jorge A Calvo; Kenneth C Millett; Eric J Rawdon

    World Scientific Publishing Company 2005; US$ 300.00

    The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made... more...

  • Geometry of Principal Sheavesby Efstathios Vassiliou

    Springer 2006; US$ 139.00

    The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth... more...

  • String Topology and Cyclic Homologyby Ralph L. Cohen; Kathryn Hess; Alexander A. Voronov

    Springer 2006; US$ 39.95

    Deals with string topology, Hochschild and cyclic homology. This book consists of an exposition of various approaches to string topology and the Chas-Sullivan loop product. It also gives a construction of an algebraic model for computing topological cyclic homology. It is suitable for both graduate students and established researchers. more...