Making holes in the cone, suspension and hyperspaces of some continua

被引：5

作者：

Anaya, Jose G. ^{[1
]}

Castaneda-Alvarado, Enrique ^{[1
]}

Fuentes-Montes de Oca, Alejandro ^{[1
]}

Orozco-Zitli, Fernando ^{[1
]}

机构：

[1] Univ Autonoma Estado De Mexico, Inst Literario 100, Fac Ciencias, Col Ctr, Toluca 50000, Estada De Mexic, Mexico

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2018年 / 59卷 / 03期

关键词：

continuum; hyperspace; hyperspace suspension; property (b); unicoherence; cone; suspension;

D O I：

10.14712/1213-7243.2015.233

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A connected topological space Z is unicoherent provided that if Z = A boolean AND B where A and B are closed connected subsets of Z, then A boolean OR B is connected. Let Z be a unicoherent space, we say that z is an element of Z makes a hole in Z if Z - {z} is not unicoherent. In this work the elements that make a hole to the cone and the suspension of a metric space are characterized. We apply this to give the classification of the elements of hyperspaces of some continua that make them hole.

引用

页码：343 / 364

页数：22

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