Abstract
From this chapter, we study topological subjects and knot theory. In this chapter, we mainly study “X-colorings” as the relative point for studying the knot quandle. Precisely, in Sect. 3.1, we define colorings and observe examples. In Sect. 3.2, we see a topological characterization of the colorings, and list some examples with applications. In Sect. 3.3, we briefly observe a relation between colorings and the braid group. Here, we assume that the reader has the elementary knowledge in knot theory (for this, we refer the reader to the books [Hil,Lic, BZ] or Appendix A).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 The Author(s)
About this chapter
Cite this chapter
Nosaka, T. (2017). X-Colorings of Links. In: Quandles and Topological Pairs. SpringerBriefs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-10-6793-8_3
Download citation
DOI: https://doi.org/10.1007/978-981-10-6793-8_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6792-1
Online ISBN: 978-981-10-6793-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)