MISC

2012年

Compositions of equi-dimensional fold maps

FUNDAMENTA MATHEMATICAE
  • Yoshihiro Hirato
  • ,
  • Masamichi Takase

216
2
開始ページ
119
終了ページ
128
記述言語
英語
掲載種別
DOI
10.4064/fm216-2-3
出版者・発行元
POLISH ACAD SCIENCES INST MATHEMATICS

According to Ando's theorem, the oriented bordism group of fold maps of n-manifolds into n-space is isomorphic to the stable n-stem. Among such fold maps we define two geometric operations corresponding to the composition and to the Toda bracket in the stable stem through Ando's isomorphism. By using these operations we explicitly construct several fold maps with convenient properties, including a fold map which represents the generator of the stable 6-stem.


リンク情報
DOI
https://doi.org/10.4064/fm216-2-3
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000302440700003&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859229957&origin=inward

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