k-Fréchect Urysohn Spaces

• Autores: Lewis D. Ludwig, Chuan Liu
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 2, 2005, págs. 391-402
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In 1999, Arhangel'skii defined the following property: A Hausdorff topological space X is called k-Fréchect Urysohn if for every open subset A of X and every x in the closure of A there exists a sequence of points of A converging to x. We discuss the properties of k-Fréchect Urysohn spaces, the conditions under which a k-Fréchect Urysohn space is Fréchect Urysohn, and the behavior of k-Fréchect Urysohn spaces under products. Two questions are posed.