On countably compact group topologies without non-trivial convergent sequences on Q((kappa)) for arbitrarily large kappa and a selective ultrafilter

Autor(es)

Bellini, Matheus Koveroff ^[1] ; Rodrigues, Vinicius de Oliveira ^[1] ; Tomita, Artur Hideyuki ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 294, MAY 1 2021.
• Citações Web of Science: 0

Resumo

Castro Pereira and Tomita showed that it is consistent that there exist arbitrarily large countably compact groups without non-trivial convergent sequences of finite order. In this paper, we obtain large p-compact groups without non-trivial convergent on the direct sum of kappa copies of Q where kappa = kappa(omega) is infinite. In particular this gives the first arbitrarily large countably compact groups without non-trivial convergent sequences that are torsion-free. (C) 2021 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 16/26216-8 - Topologia e conjuntos
• Beneficiário: Artur Hideyuki Tomita
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/15502-2 - Mad Families, Forcing e Princípios Combinatórios em Topologia
• Beneficiário: Vinicius de Oliveira Rodrigues
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 17/15709-6 - Ultrafiltros e Álgebra Topológica
• Beneficiário: Matheus Koveroff Bellini
• Modalidade de apoio: Bolsas no Brasil - Doutorado