Generalized Property R and the Schoenflies Conjecture

Details Generalized Property R and the Schoenflies Conjecture Generalized Property R and the Schoenflies Conjecture

2006-03-21

arxiv.org/abs/math/0603511v1

Mathematics

Geometric Topology

29 pages, 8 figures

Scientific paper

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.

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