Reflecting properties in continuous images of small weight

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, Dept Matemat, Unidad Iztapalapa, Ave San Rafael Atlixco 186, Apartado Postal 55-53, Mexico City 09340, DF - Mexico

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN JOURNAL OF MATHEMATICS; v. 2, n. 2, p. 518-525, JUN 2016.
• Citações Web of Science: 0

Resumo

A topological property P is reflected in continuous images of weight at most omega(1) if a space X has P whenever every continuous image of X of weight at most omega(1) has P. When X is a generalized ordered space, we consider a number of topological properties including feeble Lindelofness and kappa-monolithicity. In the final section we study small images of pseudocompact and countably compact spaces; we give a condition on continuous images of a pseudocompact space in order that it be compact and show that it is consistently true that a countably compact space of countable projective tightness is countably tight. (AU)

• Processo FAPESP: 14/26880-0 - Maximalidade de propriedades relacionadas à compacidade
• Beneficiário: Lúcia Renato Junqueira
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional