García-Máynez, Adalberto(Universitat Politècnica de València, 2007-10-01)
[EN] Wallman bases are frequently used in compactification processes of topological spaces. However, they are also related with quasi–uniform structures and they are useful to characterize some topological properties. We ...
García-Máynez, Adalberto; Mancio-Toledo, Rubén(Universitat Politècnica de València, 2007-10-01)
[EN] In this paper we prove the existence of a completion of a T0–pre-uniform space (X,U), with the property that each Cauchy filter in (X,U) contains a weakly round filter.
Arhangelskii, A.V.; Bella, Angelo(Universitat Politècnica de València, 2007-10-01)
[EN] We discuss some properties stronger than Gδ-diagonal. Among other things, we prove that any first countable paratopological group has a Gδ-diagonal of infinite rank and hence also a regular Gδ-diagonal. This answer a ...
Caserta, Agata; Watson, Stephen(Universitat Politècnica de València, 2007-10-01)
[EN] We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate. This ...