Beer, Gerald(Universitat Politècnica de València, 2008-04-01)
[EN] This paper looks at some possible ways of equipping a countable product of unbounded metric spaces with a metric that acknowledges the boundedness characteristics of the factors.
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 ...
Rodabaugh, S.E.(Universitat Politècnica de València, 2008-04-01)
[EN] This paper studies various functors between (lattice-valued) topology and (lattice-valued) bitopology, including the expected “doubling” functor Ed : L-Top → L-BiTop and the “cross” functor E× : L-BiTop → L2-Top ...
Alas, Ofelia T.; Tamariz-Mascarúa, Ángel(Universitat Politècnica de València, 2008-04-01)
[EN] The Cech number of a space Z, C(Z), is the pseudocharacter of Z in βZ. In this article we obtain, in ZFC and assuming SCH, some upper and lower bounds of the Cech number of spaces Cp(X) of realvalued continuous ...
Melin, Erik(Universitat Politècnica de València, 2008-04-01)
[EN] We give necessary and sufficient conditions for the existence of a continuous extension from a smallest-neighborhood space (Alexandrov space) X to the Khalimsky line. Using this result, we classify the subsets A X ...