The weak isovariant Borsuk-Ulam theorem for compact Lie groups

被引：5

作者：

Nagasaki, I ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

ARCHIV DER MATHEMATIK | 2003年 / 81卷 / 03期

关键词：

D O I：

10.1007/s00013-003-4693-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we shall deal with a weak version of the Borsuk-Ulam theorem for G-isovariant maps, which we call the weak isovariant Borsuk-Ulam theorem. One of the results is that the weak isovariant Borsuk-Ulam theorem in linear G-spheres holds for an arbitrary compact Lie group G. On the contrary the weak isovariant Borsuk-Ulam theorem in semilinear G-(homology) spheres holds if and only if G is solvable.

引用

页码：348 / 359

页数：12

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