Isometries in Banach spaces: Lipschitz free spaces and topological properties
Classifying spaces and tensor products for manifolds with $\R$-actions
Big-data analytics for materials science: search for new topological insulators
| Full text | |
| Author(s): |
Tomita, Artur Hideyuki
;
Trianon-Fraga, Juliane
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 314, p. 18-pg., 2022-05-04. |
| Abstract | |
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) | |
| FAPESP's process: | 19/12628-0 - Pseudocompactness and ultrafilters |
| Grantee: | Juliane Trianon Fraga |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 21/00177-4 - Topological spaces and set Theory |
| Grantee: | Artur Hideyuki Tomita |
| Support Opportunities: | Regular Research Grants |