Annali di Matematica Pura ed Applicata

, Volume 160, Issue 1, pp 303-320

First online:

The topology of theρ-hausdorff distance

  • Hedy AttouchAffiliated withUniversité du Languedoc
  • , Roberto LucchettiAffiliated withUniversity of California
  • , Roger J. -B. WetsAffiliated withUniversity of California

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


An analysis of the topology generated by the ρ-hausdorff distances on the hyperspace of subsets of a normed linear space. In addition, a compactness criterion is derived for the topology generated by the pointwise convergence of the distance functions (the Choquet-Wijsman topology).