C1(X) on the edge of C2(X)
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) .
Authors
- Sergio Macı́as (ORCID: https://orcid.org/0000-0001-7464-8852)
- Javier Camargo (ORCID: https://orcid.org/0000-0003-1819-503X)
- David Maya (ORCID: https://orcid.org/0000-0002-0319-9313)
Institutions
- Universidad Industrial de Santander (CO)
- Universidad Autónoma del Estado de México (MX)
- Universidad Nacional Autónoma de México (MX)
Publication Details
- Journal
- Applied General Topology
- Published
- 2025-04-01
- DOI
- https://doi.org/10.4995/agt.2025.22003
- Citations
- 1
- Primary Topic
- Zeolite Catalysis and Synthesis
- Type
- article
- Field-Weighted Citation Impact
- 0.54
Funders
- Universidad Industrial de Santander
- Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México