Essays about: "torus knot"

Found 1 essay containing the words torus knot.

  1. 1. An Introduction to the Fundamental Group and some Applications

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Abdel Rahman Al-Abdallah; [2013]
    Keywords : fundamental group; homotopy; brouwer; game of hex; nielsen shreier; free group; van kampen; torus knot; covering space; covering transformations; borsuk ulam; ham sandwich; pancake sandwich; jordan curve; Mathematics and Statistics;

    Abstract : This thesis provides a self-contained introduction to the Fundamental Group and presents some of its applications, such as Brouwer fixed point Theorem,the Game of Hex, Nielsen-Schreier Theorem, the van-Kampen Theorem and some of its consequences, Borsuk-Ulam Theorem and some of its applications,the Jordan curve Theorem, and some other examples and applications.Some results in Group Theory will be introduced as necessary, in order to study the van-Kampen Theorem, which plays a key role in our proof of the Jordan Curve Theorem. READ MORE