THE FIXED POINT PROPERTY IN EVERY WEAK HOMOTOPY TYPE

被引：1

作者：

Ariel Barmak, Jonathan ^{[1
]}

机构：

[1] FCEyN Univ Buenos Aires, Dept Matemat, Buenos Aires, DF, Argentina

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2016年 / 138卷 / 05期

关键词：

POLYHEDRA; SPACES;

D O I：

10.1353/ajm.2016.0042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for any connected compact CW-complex K there exists a space X weak homotopy equivalent to K which has the fixed point property, that is, every continuous map X -> X has a fixed point. The result is known to be false if we require X to be a polyhedron. The space X we construct is a non-Hausdorff space with finitely many points.

引用

页码：1425 / 1438

页数：14

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