Properties of the (n, m)−fold hyperspace suspension of continua
| Autor: | Gerardo Hernández-Valdez, David Herrera Carrasco, Fernando Macías-Romero, Maria de Jesús López |
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| Jazyk: | Spanish; Castilian |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Revista Integración, Vol 40, Iss 2 (2022) |
| Druh dokumentu: | article |
| ISSN: | 0120-419X 2145-8472 |
| Popis: | Let n, m ∈ N with m ≤ n and X be a metric continuum. We consider the hyperspaces Cn(X) (respectively, Fn(X)) of all nonempty closed subsets of X with at most n components (respectively, n points). The (n, m)−fold hyperspace suspension on X was introduced in 2018 by Anaya, Maya, and Vázquez-Juárez, to be the quotient space Cn(X)/Fm(X) which is obtained from Cn(X) by identifying Fm(X) into a one-point set. In this paper we prove that Cn(X)/Fm(X) contains an n−cell; Cn(X)/Fm(X) has property (b); Cn(X)/Fm(X) is unicoherent; Cn(X)/Fm(X) is colocally connected; Cn(X)/Fm(X) is aposyndetic; and Cn(X)/Fm(X) is finitely aposyndetic |
| Databáze: | Directory of Open Access Journals |
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