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math.CT2025
Notions of Cauchy completeness for normed categories
Dirk Hofmann, Walter Tholen
As already mentioned by Lawvere in his 1973 paper, the characterisation of Cauchy completeness of metric spaces in terms of representability of adjoint distributors amounts to the…
math.CT2025
Topological lax comma categories
Maria Manuel Clementino, Dirk Hofmann, Rui Prezado
This paper investigates the interplay between properties of a topological space , in particular of its natural order, and properties of the lax comma category $\mathsf{Top} \Dow…