English

Generalized Property R and the Schoenflies Conjecture

Geometric Topology 2007-05-23 v1

Abstract

There is a relation between the generalized Property R Conjecture and the Schoenflies Conjecture that suggests a new line of attack on the latter. The approach gives a quick proof of the genus 2 Schoenflies Conjecture and suffices to prove the genus 3 case, even in the absence of new progress on the generalized Property R Conjecture.

Keywords

Cite

@article{arxiv.math/0603511,
  title  = {Generalized Property R and the Schoenflies Conjecture},
  author = {Martin Scharlemann},
  journal= {arXiv preprint arXiv:math/0603511},
  year   = {2007}
}

Comments

29 pages, 8 figures

R2 v1 2026-07-22T17:33:12.042Z