| Full text | |
| Author(s): |
Bellini, Matheus K.
;
Hart, Klaas Pieter
;
Rodrigues, Vinicius O.
;
Tomita, Artur H.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 333, p. 23-pg., 2023-04-28. |
| Abstract | |
We prove that if there are c incomparable selective ultrafilters then, for every infinite cardinal kappa such that kappa omega = kappa, there exists a group topology on the free Abelian group of cardinality kappa without nontrivial convergent sequences and such that every finite power is countably compact. In particular, there are arbitrarily large countably compact groups. This answers a 1992 question of D. Dikranjan and D. Shakhmatov.(c) 2023 Elsevier B.V. All rights reserved. (AU) | |
| 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 |
| FAPESP's process: | 21/00177-4 - Topological spaces and Set Theory |
| Grantee: | Artur Hideyuki Tomita |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/26216-8 - Topology and sets |
| 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 |