On Embeddings of Tori in Euclidean Spaces

On Embeddings of Tori in Euclidean Spaces

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摘要 Using the relation between the set of embeddings of tori into Euclideanspaces modulo ambient isotopies and the homotopy groups of Stiefel manifolds, we prove new resultson embeddings of tori into Euclidean spaces. Using the relation between the set of embeddings of tori into Euclideanspaces modulo ambient isotopies and the homotopy groups of Stiefel manifolds, we prove new resultson embeddings of tori into Euclidean spaces.

作者 MatijaCENCELJ DusanREPOVS

机构地区 InstituteofMathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第2期435-438,共4页 数学学报（英文版）

基金 Both authors are supported in part by the Ministry of Education,Science and Sport of the Republic of Slovenia Research Program No.0101-509 Research Grant No.SLO-KIT-04-14-2002

关键词 EMBEDDINGS knotted tori euclidean space stiefel manifolds homotopy groupsof spheres embeddings knotted tori euclidean space stiefel manifolds homotopy groupsof spheres

分类号 O189.31 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2005年第2期

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On Embeddings of Tori in Euclidean Spaces

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