Pajoohesh, Homeira(Universitat Politècnica de València, 2022-04-01)
[EN] Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric. We show that by replacing $[0,\infty)$ ...
Pajoohesh, Homeira(Universitat Politècnica de València, 2024-10-01)
[EN] If f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are {A ⊆ X : f(A) ⊆ A}. We prove that every functional Alexandroff topology is pseudopartial metrizable ...