Caserta, Agata; Watson, Stephen(Universitat Politècnica de València, 2009-10-01)
[EN] We investigate the Lindelöf property of Dowker planks. In particular, we give necessary conditions such that the product of a Dowker plank with the irrationals is not Lindelöf. We also show that if there exists a ...
McCluskey, A.E.; Watson, Stephen(Universitat Politècnica de València, 2002-04-01)
[EN] A topological space is TUD if the derived set of each point is the union of disjoint closed sets. We show that there is a minimal TUD space which is not just the Alexandroff topology on a linear order. Indeed the ...
Caserta, Agata; Giarlotta, Alfio; Watson, Stephen(Universitat Politècnica de València, 2006-10-01)
[EN] We define an extended notion of resolution of topologicalspaces, where the resolving maps are partial instead of total. To showthe usefulness of this notion, we give some examples and list severalproperties of resolutions ...
Di Caprio, Debora; Watson, Stephen(Universitat Politècnica de València, 2003-10-01)
[EN] Bertacchi and Costantini obtained some conditions equivalent to the existence of continuous selections for the Wijsman hyperspace of ultrametric Polish spaces. We introduce a new class of hypertopologies, the ...
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 ...