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math.CT2024
On bi-enriched -categories
Hadrian Heine
We extend Lurie's definition of enriched -categories to notions of left enriched, right enriched and bienriched -categories, which generalize the concepts of closed…
math.CT2024
The higher algebra of weighted colimits
Hadrian Heine
We develop a theory of weighted colimits in the framework of weakly bienriched -categories, an extension of Lurie's notion of enriched -categories. We prove an exis…