A Survey of Knot Theory
Date of Graduation
Spring 1993
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Les Reid
Abstract
The purpose of this paper is to bring together a few topics in know theory. To discuss the classical branch of knot theory, where the not groups are defined, we make the necessary topological and algebraic developments. The van Kampen theorem is stated and used to find knot groups in the traditional way, and also in a fashion that standard texts do not discuss. later developments in knot theory, for example the Jones polynomial, are also discussed, giving the reader the opportunity to see newer theory along with the old. We conclude by noting the incomplete state of affairs in knot theory: the lack of a perfect invariant.
Subject Categories
Mathematics
Copyright
© Owen Mertens
Recommended Citation
Mertens, Owen, "A Survey of Knot Theory" (1993). MSU Graduate Theses/Dissertations. 853.
https://bearworks.missouristate.edu/theses/853
Dissertation/Thesis
