Work

Contractibility of the hyperspace of meager subcontinua, two examples

Year: 2025

Type: article

Abstract: Given a metric continuum X, the hyperspace of meager subcontinua of X, denoted by M(X), is the collection of all subcontinua of X with empty interior. Answering questions by Norberto Ordo˜nez, in this paper we construct two dendroids showing that there is no implication between the conditions: (a) X is contractible and (b) M(X) is contractible. We also prove that if X is an arc-smooth continuum, then M(X) is contractible.

Source: Applied General Topology

DOI: 10.4995/agt.2025.22252

Authors: Alejandro Illanes, Diego Alexander Ramírez Angarita

Institution: Universidad Nacional Autónoma de México

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Consejo Nacional de Ciencia y Tecnología, Universidad Autónoma de Zacatecas, Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México

Awards: G7977579914, G8713561797