Convex hyperspaces of probability measures and extensors in the asymptotic category

被引：0

作者：

Repovs, Dusan ^{[1
,2
]}

Zarichnyi, Mykhailo ^{[3
,4
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, POB 2964, Ljubljana 1001, Slovenia

[2] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia

[3] Lviv Natl Univ, Dept Mech & Math, UA-79000 Lvov, Ukraine

[4] Univ Rzeszow, Inst Math, Rzeszow, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 13期

关键词：

Compact convex set; Probability measure; Asymptotically zero-dimensional space; Absolute extensor;

D O I：

10.1016/j.topol.2011.05.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptotically zero-dimensional space (in the sense of Gromov) whose space of compact convex subsets of probability measures is not an absolute extensor in the asymptotic category in the sense of Dranishnikov. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1571 / 1574

页数：4

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