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Generalized Property R and the Schoenflies Conjecture

Research paper by Martin Scharlemann

Indexed on: 21 Mar '06Published on: 21 Mar '06Published in: Mathematics - Geometric Topology



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.