8 citations · 16 across the 4 of their papers we have counts for
4 papers
Relative injectivity as cocompleteness for a class of distributors
Maria Manuel Clementino, Dirk Hofmann
Notions and techniques of enriched category theory can be used to study topological structures, like metric spaces, topological spaces and approach spaces, in the context of topolo…
Injective Spaces via Adjunction
Dirk Hofmann
Our work over the past years shows that not only the collection of (for instance) all topological spaces gives rise to a category, but also each topological space can be seen indiv…
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…
Lawvere completeness in Topology
Maria Manuel Clementino, Dirk Hofmann
It is known since 1973 that Lawvere's notion of (Cauchy-)complete enriched category is meaningful for metric spaces: it captures exactly Cauchy-complete metric spaces. In this pape…