On isotopic and discrete realizations of maps of an n-dimensional sphere in Euclidean space

被引:7
|
作者
Akhmetev, PM
机构
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D O I
10.1070/SM1996v187n07ABEH000142
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we consider questions of whether a compact space can be embedded in a Euclidean space. The problem of embedding an 'S-n-like' compact space in R(2n) is solved affirmatively under certain restrictions on the dimension n. We clarify the relations between the realization problem and areas of homotopy theory and differential topology.
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页码:951 / 980
页数:30
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