Work

C1(X) on the edge of C2(X)

Year: 2025

Type: article

Abstract: Given a continuum X and a positive integer n, let Cn(X) be the hyperspace consisting of all nonempty closed subsets of X having at most n components. For a subcontinuum A of X having empty interior, consider the following properties: A is a subcontinuum of colocal connectedness, X\A is continuumwise connected, A is a nonblock subcontinuum, A is a shore subcontinuum, A is not a strong centre. In this paper, we prove that C1(X) has all of these properties in Cn(X) if n ≥ 3, and we study when C1(X) has one of these properties in C2(X) .

Source: Applied General Topology

DOI: 10.4995/agt.2025.22003

Authors: Javier Camargo, Sergio Macías, David Maya

Institutions: Universidad Industrial de Santander, Universidad Nacional Autónoma de México, Universidad Autónoma del Estado de México

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Universidad Industrial de Santander, Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México

Award: G6811769199