| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Apartado Postal 61-3, Morelia 58089, Michoacan - Mexico
[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 285, NOV 1 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We say that a space X is selectively pseudocompact if for each sequence (U-n)(n<omega) of nonempty open subsets of X there is a sequence (x(n))(n<omega) of points in X such that xn is an element of U-n, for each n < omega, and the set [x(n) : n < omega] has a cluster point in X. We prove that if p and q are not equivalent selective ultrafilters on omega, then there are a p-compact group and a q-compact group whose product is not selectively pseudocompact. (C) 2020 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 19/19924-4 - Pseudocompact groups and related properties |
| Grantee: | Artur Hideyuki Tomita |
| Support Opportunities: | Scholarships abroad - Research |