Functionals, functors and ultrametric spaces
DOI:
https://doi.org/10.15673/2072-9812.1/2014.29270Schlagworte:
Ultrametric space, functionalAbstract
We consider different classes of functionals defined on the set of continuous functions on ultrametric spaces. Similarly as in the case of probability measures, idempotent measures, max-min measures and upper semicontinuous capacities we endow the sets of functionals with ultrametrics. We consider some relations between the obtained spaces of functionals. We also discuss the question of completeness.Literaturhinweise
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