@article{Pajoohesh_2022, title={Representations of bornologies}, volume={23}, url={https://ojs.upv.es/index.php/AGT/article/view/16405}, DOI={10.4995/agt.2022.16405}, abstractNote={<p>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. <br />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.</p>}, number={1}, journal={Applied General Topology}, author={Pajoohesh, Homeira}, year={2022}, month={Apr.}, pages={17–30} }