JournalscmhVol. 83 , No. 2DOI 10.4171/cmh/131

Generalized Property R and the Schoenflies Conjecture

  • Martin Scharlemann

    University of California, Santa Barbara, United States
Generalized Property R and the Schoenflies Conjecture cover

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 new 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.