Property (a) and dominating families

Autor(es)

da Silva, Samuel Gomes

• Tipo de documento: Artigo Científico
• Fonte: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE; v. 46, n. 4, p. 18-pg., 2005-01-01.

Resumo

Generalizations of earlier negative results on Property (a) are proved and two questions on an (a)-version of Jones' Lemma are posed. We discuss these questions in the realm of locally compact spaces. Using dominating families of functions as a tool, we prove that under the assumptions "2(omega)is regular" and "2(omega) < 2(omega)1 " the existence of a Ti separable locally compact (a)-space with an uncountable closed discrete subset implies the existence of inner models with measurable cardinals. We also use cardinal invariants such as d to prove results in the class of locally compact spaces that strengthen, in such class, the negative results mentioned above. (AU)

• Processo FAPESP: 98/03633-2 - Invariantes cardinais do continuum e acima continuum: resultados de consistência e aplicações a topologia.
• Beneficiário: Samuel Gomes da Silva
• Modalidade de apoio: Bolsas no Brasil - Doutorado