The Borsuk-Ulam theorem for homotopy spherical space forms

被引：4

作者：

Goncalves, Daciberg L. ^{[1
]}

Spreafico, Mauro ^{[2
]}

Neto, Oziride Manzoli ^{[2
]}

机构：

[1] IME USP, Dept Matemat, BR-05314970 Sao Paulo, Brazil

[2] Univ Sao Paulo, Dept Matemat, ICMC USP, Sao Carlos, SP, Brazil

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2011年 / 9卷 / 02期

关键词：

Borsuk-Ulam theorem; homotopy spherical space forms; FINITE-GROUPS;

D O I：

10.1007/s11784-011-0049-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we show for which odd-dimensional homotopy spherical space forms the Borsuk-Ulam theorem holds. These spaces are the quotient of a homotopy odd-dimensional sphere by a free action of a finite group. Also, the types of these spaces which admit a free involution are characterized. The case of even-dimensional homotopy spherical space forms is basically known.

引用

页码：285 / 294

页数：10

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