| dc.creator | García-Máynez, Adalberto | |
| dc.creator | Gary, Margarita | |
| dc.creator | Pimienta, Adolfo | |
| dc.date | 2023-09-13 | |
| dc.date.accessioned | 2023-09-22T12:43:15Z | |
| dc.date.available | 2023-09-22T12:43:15Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5576 | |
| dc.identifier | 10.22199/issn.0717-6279-5576 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/234458 | |
| dc.description | Let (X, τ) be a topological space, we will denote by |X|,|X|K, |X|τ and |X|δ, the cardinalities of X; the family of compacts in X; the family of closed in X, and the family of Gδ-closed in X, respectively. The purpose of this work is to establish relationships between these four numbers and conditions under which two of them coincide or one of them is ≤ c, where c denotes, as usual, the cardinality of the set of real numbers R. We will use the Stone-Weierstrass theorem to prove that: Let (X, τ) be a compact Hausdorff topological space, then |X|δ ≤ |X|ℵ0 | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5576/4367 | |
| dc.rights | Copyright (c) 2023 Adalberto García-Máynez, Margarita Gary, Adolfo Pimienta | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 42 No. 5 (2023); 1211-1220 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 42 Núm. 5 (2023); 1211-1220 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2023-05 | |
| dc.subject | $G_{\delta}$-closed set, compact-Hausdorff, Stone-Weierstrass theorem, hereditarily Lindel\ | en-US |
| dc.subject | 41A30 | en-US |
| dc.title | An application of the Stone-Weierstrass Theorem | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
