On g-contractibility of continua

被引：1

作者：

Camargo, Javier ^{[1
]}

Pellicer-Covarrubias, Patricia ^{[2
]}

Rincon, Michael ^{[1
]}

机构：

[1] Univ Ind Santander, Fac Ciencias, Escuela Matemat, Santander 678, Colombia

[2] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 03期

关键词：

Continuum; g-Contractible; Contractible; Dendroid; Uniformly pathwise connected; Hyperspace; Symmetric product;

D O I：

10.1016/j.topol.2012.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A continuum X is g-contractible provided that there exists an onto map f:X -> X such that f is homotopic to a constant map. Thus, g-contractibility is a natural generalization of contractibility. In this paper we present properties related to the g-contractibility of products and symmetric products of continua. Furthermore, we show an uncountable family of pairwise non-homeomorphic, uniformly pathwise connected, non-g-contractible, planar dendroids such that their hyperspaces of subcontinua are not g-contractible either. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：461 / 474

页数：14

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