Search for dissertations about: "algebraic topology"

Showing result 1 - 5 of 19 swedish dissertations containing the words algebraic topology.

  2. 1. Contributions to certain problems in algebraic topology

    Author : Juan M. Alonso; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraisk topologi;

    Abstract : We consider two problems. The first one is to determine when a fibration is also a (homotopy) cofibration. We use a classic result of T. Ganea to give a complete algebraic solution. READ MORE

  4. 2. Sketches of Noncommutative Topology

    Author : Alexey Kuzmin; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis thematically divided into two parts. In the first part we are mastering C*-isomorphism problem by using various techniques applied to different examples of noncommutative algebraic varieties. READ MORE

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

    Author : Serge de Gosson de Varennes; Andrei Khrennikov; Ernst Binz; Växjö universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Symplectic geometry; algebraic topology; mathematical physics; Maslov index; Conley-Zehnder index; Leray index path intersection indices.; MATHEMATICS; MATEMATIK;

    Abstract : 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. READ MORE

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

    Author : Hjalmar Rosengren; Matematik (naturvetenskapliga fakulteten); []
    Keywords : 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;

    Abstract : 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. READ MORE

  7. 5. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    Author : Joachim Gudmundsson; Institutionen för datavetenskap; []
    Keywords : 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;

    Abstract : 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. READ MORE