| Full text | |
| Author(s): |
Bellini, Matheus Koveroff
;
Boero, Ana Carolina
;
Castro-Pereira, Irene
;
Rodrigues, Vinicius de Oliveira
;
Tomita, Artur Hideyuki
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 267, NOV 1 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
Under p = c, we answer Question 24 of {[}9] for cardinality c, by showing that if a non-torsion Abelian group of size continuum admits a countably compact Hausdorff group topology, then it admits a countably compact Hausdorff group topology with non-trivial convergent sequences. (C) 2019 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 10/19272-2 - Countably compact group topologies on abelian groups |
| Grantee: | Ana Carolina Boero |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| 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: | 17/15709-6 - Ultrafilters and Topological Algebra |
| Grantee: | Matheus Koveroff Bellini |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 16/26216-8 - Topology and sets |
| Grantee: | Artur Hideyuki Tomita |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/15502-2 - Mad Families, Forcing and Combinatorial Principles in Topology |
| Grantee: | Vinicius de Oliveira Rodrigues |
| Support Opportunities: | Scholarships in Brazil - Doctorate |