Making holes in the hyperspace of subcontinua of a continuum having property (b)

被引：1

作者：

Anaya, Jose G. ^{[1
]}

Carranza, Rosa I. ^{[1
]}

Maya, David ^{[1
]}

Orozco-Zitli, Fernando ^{[1
]}

机构：

[1] Univ Autonoma Estado Mexico, Fac Ciencias, Inst Literiario 100, Toluca 50000, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2021年 / 290卷

关键词：

Continuum; Hyperspace; Property (b); Unicoherence;

D O I：

10.1016/j.topol.2020.107582

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let C(X) be the hyperspace of all subcontinua of a metric continuum X. An element A is an element of C(X) makes a hole in C(X) if C(X) - {A} is not unicoherent. In this paper, we characterize the elements A is an element of C(X) satisfying that A makes a hole in C(X) when X has property (b). (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：11

共 14 条

[1]

Anaya J.G., 2016, Topol. Proc., V48, P251

[2]

Anaya J.G., 2012, Adv. Pure Math, P133, DOI [/10.4236/apm.2012.22020, DOI 10.4236/APM.2012.22020]

[3]

Anaya J.G., 2011, Topol. Proc., V37, P1

[4] Making holes in hyperspaces [J].

Anaya, Jose G. .

TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (10) :2000-2008

[5] Making holes in the hyperspace suspension [J].

Anaya, Jose G. ;

Castaneda-Alvarado, Enrique ;

Fuentes-Montes de Oca, Alejandro .

TOPOLOGY AND ITS APPLICATIONS, 2019, 265

[6] Making holes in the cone, suspension and hyperspaces of some continua [J].

Anaya, Jose G. ;

Castaneda-Alvarado, Enrique ;

Fuentes-Montes de Oca, Alejandro ;

Orozco-Zitli, Fernando .

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2018, 59 (03) :343-364

[7]

Anaya JG, 2012, CIENC ERGO-SUM, V19, P83

[8] The hyperspace of nonblockers of F1(X) [J].

Camargo, Javier ;

Maya, David ;

Ortiz, Luis .

TOPOLOGY AND ITS APPLICATIONS, 2019, 251 :70-81

[9] General properties of pseudo-contractibility [J].

Capulin, Felix ;

Juarez-Villa, Leonardo ;

Orozco-Zitli, Fernando .

TOPOLOGY AND ITS APPLICATIONS, 2018, 247 :57-71

[10] On hyperspaces of non-cut sets of continua [J].

Escobedo, Raul ;

Estrada-Obregon, Carolina ;

Sanchez-Martinez, Javier .

TOPOLOGY AND ITS APPLICATIONS, 2017, 217 :97-106

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