Non-trivial non weakly pseudocompact spaces
Por:
Hernández-Hernández F., Rojas-Hernández R., Tamariz-Mascarúa Á.
Publicada:
15 sep 2018
Categoría:
Geometry and topology
Resumen:
A space Z is weakly pseudocompact if Z is Gd-dense in at least one of its compactifications. In 1996 F.W. Eckertson [3] proposed the following problem: Find examples of Baire non Lindelöf spaces which are not weakly pseudocompact. Eckertson proposed a list of natural candidates. In this article we show that part of this list produces examples of this type by providing examples of product spaces which are Baire non-Lindelöf and not weakly pseudocompact. © 2018 Elsevier B.V.
Filiaciones:
Hernández-Hernández F.:
Facultad de Ciencias Físico Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán, Mexico
Rojas-Hernández R.:
Centro de Ciencias Matemáticas, UNAM, Campus Morelia, Morelia, Michoacán, Mexico
Tamariz-Mascarúa Á.:
Departamento de Matemáticas, Facultad de Ciencias, UNAM, Circuito exterior s/n, Ciudad Universitaria, Ciudad de México, CP, Mexico
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