Date of Award
4-2022
Degree Type
Thesis
Degree Name
Master of Science
Department
Math and Computer Science
Program
Mathematics (MS)
First Advisor/Chairperson
Joshua Thompson
Abstract
There are many papers that introduce the relationship between knots and quandles which are written tersely and focus mainly on applications or implications. Here, we will take time to explain in depth how to derive quandles from oriented knots. Starting with an rigorous introduction to what a knot is and what a quandle is, we will also define the Fundamental Quandle of a knot and the relationship between colorings of a knot and the homomorphisms from an arbitrary quandle to a Fundamental Quandle. Then using this foundation, we will examine two sets of knots that produce quandles that contain subquandles and the set of quandles created by non-oriented knots.
Recommended Citation
Haskell, Jason, "Quandles that are Knot Quandles" (2022). All NMU Master's Theses. 698.
https://commons.nmu.edu/theses/698
Access Type
Open Access