| Full text | |
| Author(s): |
Sanchis, Manuel
;
Tomita, Artur Hideyuki
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 159, n. 9, p. 15-pg., 2012-06-01. |
| Abstract | |
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) | |
| FAPESP's process: | 07/06763-5 - A non-normal topology generated by a two point selection. |
| Grantee: | Artur Hideyuki Tomita |
| Support Opportunities: | Research Grants - Meeting - Abroad |