Essays about: "Homeomorphisms."

Found 3 essays containing the word Homeomorphisms..

  1. 1. On Knots and DNA

    University essay from Linköpings universitet/Matematiska institutionen; Linköpings universitet/Tekniska fakulteten

    Author : Mari Ahlquist; [2017]
    Keywords : Knot theory; Topology; Homology; Jones polynomial; Bracket polynomial; Tangles; DNA;

    Abstract : Knot theory is the mathematical study of knots. In this thesis we study knots and one of its applications in DNA. Knot theory sits in the mathematical field of topology and naturally this is where the work begins. Topological concepts such as topological spaces, homeomorphisms, and homology are considered. READ MORE

  3. 2. Fractals and Billiard Orbits on Sierpinski Carpets

    University essay from Linköpings universitet/Matematiska institutionen

    Author : Erik Landstedt; [2017]
    Keywords : Fractals; Geometry; Billiards; Orbits; Surfaces; Translation surfaces; Homeomorphisms.;

    Abstract : This Bachelor's thesis deals with fractals and orbits on Sierpinski carpets. We present the fundamental theory regarding fractals and some illustrative examples together with fractal billiards. READ MORE

  4. 3. A Survey of Dynamical Billiards

    University essay from KTH/Matematik (Inst.)

    Author : Markus Himmelstrand; Victor Wilén; [2013]
    Keywords : ;

    Abstract : In this report we will present the basic concepts and results of the theory of dynamical billiards which idealizes the concept of a volumeless ball re　ecting against the inside of a billiard table without friction.This motion will continue indenitely and it is of interest to study its behaviour. READ MORE