The homotopy of spaces of maps between real projective spaces

被引：2

作者：

Yamaguchi, Kohhei ^{[1
]}

机构：

[1] Univ Electrocommun, Dept Comp Sci & Informat Math, Chofu, Tokyo 182, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2006年 / 58卷 / 04期

关键词：

rational homotopy equivalence; group action; fundamental group;

D O I：

10.2969/jmsj/1179759542

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the homotopy groups of spaces of continuous maps between real projective spaces and we generalize the results given in [5], [8] and [12]. In particular, we determine the rational homotopy types of these spaces and compute their fundamental groups explicitly.

引用

页码：1163 / 1184

页数：22

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