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 ...
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar(Universitat Politècnica de València, 2003-10-01)
[EN] Recently it was shown that, in a metric space, the upper Wijsman convergence can be topologized with the introduction of a new far-miss topology. The resulting Wijsman topology is a mixture of the ball topology and ...
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar(Universitat Politècnica de València, 2003-10-01)
[EN] In this paper we study function space topologies on closed multifunctions, i.e. closed relations on X x Y using various hypertopologies. The hypertopologies are in essence, graph topologies i.e topologies on functions ...
Naimpally, Somashekhar(Universitat Politècnica de València, 2003-10-01)
[EN] In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions. The study includes Vietoris topology, Fell topology, ...
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar(Universitat Politècnica de València, 2008-04-01)
[EN] The subject of hyperspace topologies on closed or closed and compact subsets of a topological space X began in the early part of the last century with the discoveries of Hausdorff metric and Vietoris hit-and-miss ...
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 ...