1 citations · 3 across the 3 of their papers we have counts for
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Cauchy completeness for DG-categories
Branko Nikolić, Ross Street, Giacomo Tendas
We go back to the roots of enriched category theory and study categories enriched in chain complexes; that is, we deal with differential graded categories (DG-categories for short)…
Note on filtered colimits of Hilbert spaces
Branko Nikolić, Alessandra Di Pierro
The category of Hilbert spaces and contractions has filtered colimits, and tensoring preserves them. We also discuss (problems with) bounded maps.
Hopf rings for grading and differentials
Branko Nikolić, Ross Street
In the category of abelian groups, Pareigis constructed a Hopf ring whose comodules are differential graded abelian groups. We show that this Hopf ring can be obtained by combining…
Cauchy completeness and causal spaces
Branko Nikolić
Following Lawvere's description of metric spaces using enriched category theory, we introduce a change in the base of enrichment that allows description of some aspects of (relativ…