Hi Walter, let me advert my paper on a similar and related subject http://arxiv.org/abs/math/0602463 "Flatness, preorders and generalized metric spaces" that treats completions of non symmetric spaces. It took some time to be written but it is going to appear (in an improved version) in the Georgian Mathematical Journal. Cheers, V. On Jan 9 2009, Walter Tholen wrote:
The paper "On the categorical meaning of Hausdorff and Gromov distances, I" by Andrei Akhvlediani, Maria Manuel Clementino and myself is available at http://arxiv.org/abs/0901.0618 and on my homepage at http://math.yorku.ca/~tholen/
The paper expands on ideas offered in Maria Manuel Clementino's talk at CT08 and in my talks at the Octoberfest in Montreal and at the Borceux-Bourn Birthday Conference in Brussels in October. We welcome comments.
Regards, Walter Tholen.