On linearly H-closed spaces

Autor(es)

Alas, Ofelia T. ^[1] ; Junqueira, Lucia R. ^[1] ; Wilson, Richard G. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05314970 Sao Paulo - Brazil

^[2] Univ Autonoma Metropolitana, Unidad Iztapalapa, Dept Matemat, Ave San Rafael Atlixco 186, Apartado Postal 55-532, Mexico City 09340, DF - Mexico

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 258, p. 161-171, MAY 15 2019.
• Citações Web of Science: 1

Resumo

We study a subclass of the class of pseudocompact spaces, the linearly H-closed spaces, recently introduced by M. Baillif. We give two new characterizations of these spaces in terms of filters and complete accumulation points of families of open sets. We show that a monotonically normal linearly H-closed space is compact and that linear H-closedness is preserved under a product with an H-closed space. Additionally, a condition is given in order that the property be preserved under countable products. (C) 2019 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 18/02980-6 - Propriedades envolvendo conjuntos discretos e tipos especiais de pseudocompacidade
• Beneficiário: Lúcia Renato Junqueira
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional