| Texto completo | |
| Autor(es): |
Sanchis, Manuel
;
Tomita, Artur Hideyuki
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Topology and its Applications; v. 159, n. 9, p. 15-pg., 2012-06-01. |
| Resumo | |
We show that if p is a selective ultrafilter, then for each cardinal alpha <= omega(1), there exists a topological group G such that G(beta) is almost p-compact (in particular, countably compact), for beta < alpha, but G(alpha) is not countably compact. If in addition, we assume Martin's Axiom, then the result above holds for every alpha < c. (C) 2012 Elsevier By. All rights reserved. (AU) | |
| Processo FAPESP: | 07/06763-5 - A non-normal topology generated by a two point selection. |
| Beneficiário: | Artur Hideyuki Tomita |
| Modalidade de apoio: | Auxílio à Pesquisa - Reunião - Exterior |