| Full text | |
| Author(s): |
Garcia-Ferreira, S.
;
Tomita, A. H.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 192, p. 7-pg., 2015-09-01. |
| Abstract | |
A space X is called strongly pseudocompact if for each sequence (U-n)(n is an element of N) of pairwise disjoint nonempty open subsets of X there is a sequence (x(n))(n is an element of N) of points in X such that cl(X)({x(n) : n is an element of N}) \ (U-n is an element of N U-n) not equal 0 and x(n) is an element of U-n, for each n is an element of N. It is evident that every countably compact space is strongly pseudocompact and every strongly pseudocompact space is pseudocompact. In this paper, we construct a pseudocompact group that is not strongly pseudocompact answering two questions posed in [13]. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 12/01490-9 - Construction of topologies: countably compact topological groups, hyperspaces and selections and others |
| Grantee: | Artur Hideyuki Tomita |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/06961-2 - Strongly pseudocompact properties and topological group |
| Grantee: | Artur Hideyuki Tomita |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |