@article{Di Maio_Meccariello_Naimpally_2006, title={Uniformly discrete hit-and-miss hypertopology. A missing link in hypertopologies}, volume={7}, url={https://polipapers.upv.es/index.php/AGT/article/view/1927}, DOI={10.4995/agt.2006.1927}, abstractNote={<p>Recently it was shown that the lower Hausdorff metric (uniform) topology is generated by families of uniformly discrete sets as hit sets. This result leads to a new hypertopology which is the join of the above topology and the upper Vietoris topology. This uniformly discrete hit-and-miss hypertopology is coarser than the locally finite hypertopology and finer than both Hausdorff metric (uniform) topology and Vietoris topology. In this paper this new hypertopology is studied. Here is a Hasse diagram in which each arrow goes from a coarser topology to a finer one and equality follows UC or TB as indicated. The diagram clearly shows that the new (underlined) topology provides the missing link.</p>}, number={2}, journal={Applied General Topology}, author={Di Maio, Giuseppe and Meccariello, Enrico and Naimpally, Somashekhar}, year={2006}, month={Oct.}, pages={245–252} }