E.P. de Vink
A note on the completeness of M_1(X)
For an ultra-metric space X the collection M_1(X) of Borel probability
measures of compact support is an ultra-metric space when endowed with a
metric based on the agreement on a special kind of open subsets. This note
addresses the issue of preservation of completeness of the space M_1(X)
given the completeness of the space X.