On the hyperspace Cn(X)/CnK(X)

被引：2

作者：

Anaya, Jose G. ^{[1
]}

Castaneda-Alvarado, Enrique ^{[1
]}

Martinez-Cortez, Jose A. ^{[1
]}

机构：

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

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2021年 / 62卷 / 02期

关键词：

hyperspace; continuum; containment hyperspace; aposyndesis; finite graph; Peano continuum; contractibility; SUSPENSION;

D O I：

10.14712/1213-7243.2021.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a continuum and n a positive integer. Let C-n(X) be the hyperspace of all nonempty closed subsets of X with at most n components, endowed with the Hausdorff metric. For K compact subset of X, define the hyperspace C-nK(X) = {A is an element of C-n (X): K subset of A}. In this paper, we consider the hyperspace C-K(n) (X) = C-n(X)/C-nK (X), which can be a tool to study the space C-n (X). We study this hyperspace in the class of finite graphs and in general, we prove some properties such as: aposyndesis, local connectedness, arcwise disconnectedness, and contractibility.

引用

页码：201 / 224

页数：24