COUNTABLY COMPACT WEAKLY WHYBURN SPACES

Autor(es)

Spadaro, S.

• Tipo de documento: Artigo Científico
• Fonte: ACTA MATHEMATICA HUNGARICA; v. 149, n. 1, p. 254-262, JUN 2016.
• Citações Web of Science: 1

Resumo

The weak Whyburn property is a generalization of the classical sequential property that was studied by many authors. A space X is weakly Whyburn if for every non-closed set A subset of X there is a subset B subset of A such that (B) over bar \textbackslash{} A is a singleton. We prove that every countably compact Urysohn space of cardinality smaller than the continuum is weakly Whyburn and show that, consistently, the Urysohn assumption is essential. We also give conditions for a (countably compact) weakly Whyburn space to be pseudoradial and construct a countably compact weakly Whyburn non-pseudoradial regular space, which solves a question asked by Angelo Bella in private communication. (AU)

• Processo FAPESP: 13/14640-1 - Conjuntos discretos e invariantes cardinais em topologia conjuntista
• Beneficiário: Santi Domenico Spadaro
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado