Selectively pseudocompact groups and p-compactness

Autor(es)

Garcia-Ferreira, S. ^[1] ; Tomita, A. H. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Apartado Postal 61-3, Morelia 58089, Michoacan - Mexico

^[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 285, NOV 1 2020.
• Citações Web of Science: 0

Resumo

We say that a space X is selectively pseudocompact if for each sequence (U-n)(n<omega) of nonempty open subsets of X there is a sequence (x(n))(n<omega) of points in X such that xn is an element of U-n, for each n < omega, and the set [x(n) : n < omega] has a cluster point in X. We prove that if p and q are not equivalent selective ultrafilters on omega, then there are a p-compact group and a q-compact group whose product is not selectively pseudocompact. (C) 2020 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 19/19924-4 - Grupos pseudocompactos e propriedades relacionadas
• Beneficiário: Artur Hideyuki Tomita
• Modalidade de apoio: Bolsas no Exterior - Pesquisa