## The completion of the space of convex, bounded sets with respect to the Demyanov metric.(English)Zbl 1290.52004

The authors study the space of bounded convex (not necessarily closed) sets in $$\mathbb R^d$$ endowed with the Demyanov (pseudo)metric and for $$d=2$$ describe the completion of the induced metric space.

### MSC:

 52A20 Convex sets in $$n$$ dimensions (including convex hypersurfaces) 58C06 Set-valued and function-space-valued mappings on manifolds 54E50 Complete metric spaces
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### References:

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