Multiset metrics on bounded spaces

Details Multiset metrics on bounded spaces Multiset metrics on bounded spaces

2011-09-22

arxiv.org/abs/1109.4930v1

Mathematics

Metric Geometry

13 pages, no figures

Scientific paper

We discuss five simple functions on finite multisets of metric spaces. The
first four are all metrics iff the underlying space is bounded and are complete
metrics iff it is also complete. Two of them, and the fifth function, all
generalise the usual Hausdorff metric on subsets. Some possible applications
are also considered.

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