Vroegrijk, Tom(Universitat Politècnica de València, 2009-10-01)
[EN] Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory. One o fHu's results gives us a ...
Tkachenko, Mikhail(Universitat Politècnica de València, 2009-10-01)
[EN] We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), ...
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 ...
Fujita, Chikara; Kato, Hisao(Universitat Politècnica de València, 2009-10-01)
[EN] In the paper [Almost periodic points and minimal sets in w-regular spaces, Topology Appl. 154 (2007), 2873–2879], Mai and Sun showed that several known results concerning almost periodic points and minimal sets of ...
Echi, Othman; Lazaar, Sami(Universitat Politècnica de València, 2009-10-01)
[EN] This paper deals with lattice-equivalence of topologica lspaces. We are concerned with two questions: the first one is when two topological spaces are lattice equivalent; the second one is what additional conditions ...