Herden, G.; Pallack, A.(Universitat Politècnica de València, 2000-10-01)
[EN] Let X be an arbitrary set. A topology t on X is said to be useful if every continuous linear preorder on X is representable by a continuous real valued order preserving function. Continuous linear preorders on X are ...
Ohta, Haruto(Universitat Politècnica de València, 2000-10-01)
[EN] The first part of the paper is a brief survey on recent topics concerning the relationship between C*-embedding and C-embedding for closed subsets. The second part studies extension properties of the Niemytzki plane ...
Hernández, C.; Robbie, D.; Tkachenko, Mikhail(Universitat Politècnica de València, 2000-10-01)
[EN] We continue the study of (strictly) o-bounded topological groups initiated by the first listed author and solve two problems posed earlier. It is shown here that the product of a Comfort-like topological group by a ...
Arhangelskii, A.V.(Universitat Politècnica de València, 2000-10-01)
[EN] A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural ...
Császár, Ákos(Universitat Politècnica de València, 2000-10-01)
[EN] To an arbitrary quasi-uniformity on the set X, a merotopy on X is assigned. There are results concerning the question whether this merotopy is compatible with the topology induced by the quasi-uniformity end whether ...