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math.CT2009★ 1 cited
On the categorical meaning of Hausdorff and Gromov distances, I
Andrei Akhvlediani, Maria Manuel Clementino, Walter Tholen
Hausdorff and Gromov distances are introduced and treated in the context of categories enriched over a commutative unital quantale V. The Hausdorff functor which, for every V-categ…
math.CT2007★ 4 cited
Lawvere completion and separation via closure
Dirk Hofmann, Walter Tholen
For a quantale $\V$, first a closure-theoretic approach to completeness and separation in $\V$-categories is presented. This approach is then generalized to $\Tth$-categories, wher…