Generalized Property R and the Schoenflies Conjecture | Zendy

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Generalized Property R and the Schoenflies Conjecture

Author(s) -

Martin Scharlemann

Publication year - 2008

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/131

Subject(s) - conjecture , mathematics , property (philosophy) , beal's conjecture , collatz conjecture , genus , combinatorics , elliott–halberstam conjecture , lonely runner conjecture , pure mathematics , botany , philosophy , epistemology , biology

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. Mathematics Subject Classification (2000). 57Q25, 57N13.

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