Andere Kunden interessierten sich auch für
![Uniform Distribution and Quasi-Monte Carlo Methods]( "Uniform Distribution and Quasi-Monte Carlo Methods")
Uniform Distribution and Quasi-Monte Carlo Methods127,99 €![Solution Technique for Beam, Plate & Shell for T-D Boundary Conditions]( "Solution Technique for Beam, Plate & Shell for T-D Boundary Conditions")
Solution Technique for Beam, Plate & Shell for T-D Boundary Conditions36,99 €![Generalized Uniform Structures in L-topology]( "Generalized Uniform Structures in L-topology")
Generalized Uniform Structures in L-topology32,99 €![Hermite-Padé approximation approach to drops shapes in a uniform flow]( "Hermite-Padé approximation approach to drops shapes in a uniform flow")
Hermite-Padé approximation approach to drops shapes in a uniform flow23,99 €![The Quasi-One-Dimensional Flow]( "The Quasi-One-Dimensional Flow")
The Quasi-One-Dimensional Flow26,99 €![D-calculus of One-dimensional Discrete Functions on a Non-uniform Grid]( "D-calculus of One-dimensional Discrete Functions on a Non-uniform Grid")
D-calculus of One-dimensional Discrete Functions on a Non-uniform Grid22,99 €![Parameter uniform numerical methods for singular perturbation problems]( "Parameter uniform numerical methods for singular perturbation problems")
Parameter uniform numerical methods for singular perturbation problems44,99 €
We continue our investigations of the scale of a quasi-uniform space, which we had started in an earlier article. We distinguish between the left-sided scale and the two-sided scale of a quasi-uniform space. While the behavior of the two-sided scale of a quasi-uniform space X shows similarities with the usual hyperspace of X equipped with its Hausdorff quasi-uniformity, the left-handed scale generalizes the quasi-uniform multifunction space of X into itself.For instance the two-sided scale of any totally bounded quasi-uniform space X is totally bounded, while total boundedness of the left-sided scale of a quasi-uniform space X implies that X is finite or indiscrete. Either construction of the scale is based on the idea of the prefilter space of a quasi-uniform space. Prefilter spaces of quasi-uniform spaces are shown to be bicomplete. It follows that both the left-sided and the two-sided scale of a quasi-uniform space are bicomplete. Indeed these scales can be used to construct the bicompletion of the T0-reflection of the Hausdorff quasi-uniformity of a quasi-uniform space.