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
收藏
页码:201 / 224
页数:24
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