English

Farey Recursive Functions

Geometric Topology 2021-07-28 v1 Combinatorics

Abstract

This paper introduces Farey Recursive Functions and investigates their basic properties. Farey Recursive Functions are a special type of recursive function from the rationals to a commutative ring. The recursion of these functions is organized by the Farey graph. They arise naturally in the study of 2-bridge knots and links.

Keywords

Cite

@article{arxiv.2008.13303,
  title  = {Farey Recursive Functions},
  author = {Eric Chesebro and Cory Emlen and Kenton Ke and Denise LaFontaine and Kelly McKinnie and Catherine Rigby},
  journal= {arXiv preprint arXiv:2008.13303},
  year   = {2021}
}
R2 v1 2026-06-23T18:11:47.674Z