MISC

2016年9月

Regular-equivalence of 2-knot diagrams and sphere eversions

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
  • Masamichi Takase
  • ,
  • Kokoro Tanaka

161
2
開始ページ
237
終了ページ
246
記述言語
英語
掲載種別
DOI
10.1017/S0305004116000244
出版者・発行元
CAMBRIDGE UNIV PRESS

For each diagram D of a 2-knot, we provide a way to construct a new diagram D' of the same knot such that any sequence of Roseman moves between D and D' necessarily involves branch points. The proof is done by developing the observation that no sphere eversion can be lifted to an isotopy in 4-space.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1017/S0305004116000244
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000382715500005&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84965058452&origin=inward

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