Naimpally, Somashekhar(Universitat Politècnica de València, 2002-04-01)
[EN] We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance. This representation is useful in the study of comparison of the ...
Boxer, Laurence(Universitat Politècnica de València, 2022-04-01)
[EN] Two objects may be close in the Hausdorff metric, yet have very different geometric and topological properties. We examine other methods of comparing digital images such that objects close in each of these measures have ...
We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the alpha-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper ...
Constantini, Camillo; Kubís, Wieslaw(Universitat Politècnica de València, 2003-10-01)
[EN] We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost convex metric space, is an absolute retract. Dense subspaces of normed linear spaces are examples of, not necessarily ...
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar(Universitat Politècnica de València, 2006-10-01)
[EN] 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 ...