Autor(es)

Garcia-Ferreira, S. ; Tomita, A. H. ; Trianon-Fraga, J.

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 379, p. 10-pg., 2026-02-15.

Resumo

Given a selective ultrafilter p is an element of w & lowast;, we prove that there exists a p-compact group topology on Q((c)) without nontrivial convergent sequences and a closed subgroup H subset of Q((c))which contains an element not divisible by any n is an element of omega (Q((c))does not admit a p-compact topology for any p is an element of omega & lowast;. Given H a group and G a subgroup of Q which is not n-divisible, for some prime number n > 1, but is m-divisible for each prime number m not equal n, we show that a group topology compatible with H (c) G cannot be p-compact for any p is an element of omega & lowast;. (c) 2025 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). (AU)

• Processo FAPESP: 19/12628-0 - Pseudocompacidade e ultrafiltros
• Beneficiário: Juliane Trianon Fraga
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 19/19924-4 - Grupos pseudocompactos e propriedades relacionadas
• Beneficiário: Artur Hideyuki Tomita
• Modalidade de apoio: Bolsas no Exterior - Pesquisa