| Texto completo | |
| Autor(es): |
Tomita, Artur Hideyuki
;
Trianon-Fraga, Juliane
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Topology and its Applications; v. 314, p. 18-pg., 2022-05-04. |
| Resumo | |
We construct in ZFC a countably compact group without non-trivial convergent sequences of size 2(c), answering a question of Bellini, Rodrigues and Tomita [4]. We also construct in ZFC a selectively pseudocompact group which is not countably pracompact, showing that these two properties are not equivalent in the class of topological groups. Using the same technique, we construct a group which has all powers selectively pseudocompact but is not countably pracompact, assuming the existence of a selective ultrafilter. (C) 2022 Elsevier B.V. All rights reserved. (AU) | |
| Processo FAPESP: | 19/12628-0 - Pseudocompacidade e ultrafiltros |
| Beneficiário: | Juliane Trianon Fraga |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 21/00177-4 - Espaços topológicos e conjuntos |
| Beneficiário: | Artur Hideyuki Tomita |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |