Pajoohesh, Homeira2022-05-252022-05-252022-04-011576-9402https://riunet.upv.es/handle/10251/182879[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 $[0,\infty)$ with a partially ordered monoid every bornology is the set of bounded subsets of a generalized metric mapped into a partially ordered monoid. We also prove that the set of bornologies on a set is the join completion of the equivalence classes of a relation on the power set of the set.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)BornologyMetrizablityFrameArtículo10.4995/agt.2022.16405Abierto1989-4147