Sökning: "algebraic topology"

Visar resultat 1 - 5 av 15 avhandlingar innehållade orden algebraic topology.

  1. 1. Contributions to certain problems in algebraic topology

    Detta är en avhandling från Stockholm

    Författare :Juan M. Alonso; Stockholms universitet.; [1984]
    Nyckelord :Algebraisk topologi;

    Sammanfattning : .... LÄS MER

  2. 2. Multi-oriented Symplectic Geometry and the Extension of Path Intersection Indices

    Detta är en avhandling från Växjö : Växjö University Press

    Författare :Serge de Gosson de Varennes; Växjö universitet.; [2005]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Symplectic geometry; algebraic topology; mathematical physics; Maslov index; Conley-Zehnder index; Leray index path intersection indices.; MATHEMATICS; MATEMATIK;

    Sammanfattning : Symplectic geometry can be traced back to Lagrange and his work on celestial mechanics and has since then been a very active field in mathematics, partly because of the applications it offers but also because of the beauty of the objects it deals with.I this thesis we begin by the simplest fact of symplectic geometry. LÄS MER

  3. 3. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

    Detta är en avhandling från Centre for Mathematical Sciences, Lund University

    Författare :Hjalmar Rosengren; Lund University.; Lunds universitet.; [1999]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

    Sammanfattning : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. LÄS MER

  4. 4. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    Detta är en avhandling från Department of Computer Science, Lund University

    Författare :Joachim Gudmundsson; Lund University.; Lunds universitet.; [2000]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computer technology; Systems engineering; kontroll; system; Delaunay triangulation; Computational geometry; TSP with neighborhoods; geometric spanners; covering polygons; Computer science; numerical analysis; systems; control; numerisk analys; Datalogi; algebraisk topologi; algebraic topology; Geometry; Data- och systemvetenskap; Geometri;

    Sammanfattning : In this thesis we focus on four problems in computational geometry: In the first four chapters we consider the problem of covering an arbitrary polygon with simpler polygons, i.e., rectangles. LÄS MER

  5. 5. Geometric Models of Similarity

    Detta är en avhandling från Department of Computer Science, Lund University

    Författare :Mikael Johannesson; Lund University.; Lunds universitet.; [2002]
    Nyckelord :HUMANIORA; HUMANITIES; symmetry; similarity; separable dimensions; prominence; multidimensional scaling; Minkowski metric; machine learning; integral dimensions; familiarity; geometric models; distance metric; asymmetry; conceptual spaces; Computer science; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll; Geometry; algebraic topology; Geometri; algebraisk topologi;

    Sammanfattning : This dissertation examines and discusses some phenomena related to the geometric representation of similarity. It takes its inspiration from the existing body of empirical research within the fields of perceptual and cognitive psychology, but also connects to certain areas of machine learning. LÄS MER