Knot Theory and Algebraic Structures Motivated by and Applied to Knots

<p> This dissertation consists of four parts. In the first part we prove that two different types of set-theoretic Yang-Baxter homology theories lead to the same homology. In 2004, Carter, Elhamdadi and Saito defined a homology theory for set-theoretic Yang-Baxter operators (we will call it th...

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Bibliographic Details
Main Author: Wang, Xiao
Language:EN
Published: The George Washington University 2018
Subjects:
Online Access:http://pqdtopen.proquest.com/#viewpdf?dispub=10810197