Property of being semi-Kelley is a sequentially strong Whitney-reversible property

被引：1

作者：

Santiago-Santos, Alicia ^{[1
]}

Vidal-Escobar, Ivon ^{[2
]}

机构：

[1] Univ Tecnol Mixteca, Inst Fis & Matemat, Carretera Acatlima,Km 2-5, Huajuapan De Leon 69000, Oaxaca, Mexico

[2] UNAM, Ctr Ciencias Matemat, Campus Morelia, Morelia, Michoacan, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2018年 / 243卷

关键词：

Continuum; Hyperspace; Property of Kelley; Semi-Kelley; Whitney-reversible property; Strong Whitney-reversible property; Sequentially strong;

D O I：

10.1016/j.topol.2018.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A continuum X is said to be semi-Kelley provided that for each subcontinuum K and for every two maximal limit continua M and L in K either M subset of L or L subset of M. In this paper we show that the property of being semi-Kelley is a sequentially strong Whitney-reversible property, with this result we obtain that the property of being semi-Kelley is a Whitney-reversible property, answering a question posed by A. Illanes in [2]. Moreover, we generalize the Charatonik's Theorem ([4, p. 83, 4.5]) and we prove a version of this theorem on n-fold Symmetric Product. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：153 / 158

页数：6

共 7 条

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