Next Article in Journal
One-Sign Order Parameter in Iron Based Superconductor
Next Article in Special Issue
Following Knots down Their Energy Gradients
Previous Article in Journal
Hidden Symmetries in Simple Graphs
Previous Article in Special Issue
Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings
Article Menu

Article Versions

Export Article

Open AccessArticle
Symmetry 2012, 4(1), 225-250; doi:10.3390/sym4010225

Classical Knot Theory

University of South Alabama, Department of Mathematics and Statistics, ILB 325, Mobile, AL 36608, USA
Received: 3 February 2012 / Revised: 1 March 2012 / Accepted: 1 March 2012 / Published: 7 March 2012
(This article belongs to the Special Issue Symmetry and Beauty of Knots)
Download PDF [9080 KB, uploaded 7 March 2012]

Abstract

This paper is a very brief introduction to knot theory. It describes knot coloring by quandles, the fundamental group of a knot complement, and handle-decompositions of knot complements.
Keywords: knots; quandles; fundamental groups; handles; knot colorings; symmetry; surfaces; Klein bottle; projective plane knots; quandles; fundamental groups; handles; knot colorings; symmetry; surfaces; Klein bottle; projective plane
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Carter, J.S. Classical Knot Theory. Symmetry 2012, 4, 225-250.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top