• Corpus ID: 229332049

Cauchy completeness for DG-categories

@inproceedings{Nikolic2020CauchyCF,
  title={Cauchy completeness for DG-categories},
  author={Branko Nikoli'c and Ross Street and Giacomo Tendas},
  year={2020}
}
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). In particular, we recall weighted colimits and provide examples. We solve the 50 year old question of how to characterize Cauchy complete DG-categories in terms of existence of some specific finite absolute colimits. As well as the interactions between absolute weighted colimits, we also examine the total complex of… 
Flat vs. filtered colimits in the enriched context

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