12 citations · 37 across the 7 of their papers we have counts for
7 papers
Canonical differential calculi via functorial geometrization
Keegan J. Flood, Gabriele Lobbia, Giacomo Tendas
Given a category , we establish sufficient conditions on a faithful isofibration valued in the category of mono…
More on soundness in the enriched context
Giacomo Tendas
Working within enriched category theory, we further develop the use of soundness, introduced by Adámek, Borceux, Lack, and Rosický for ordinary categories. In particular we investi…
Accessible categories with a class of limits
Stephen Lack, Giacomo Tendas
In this paper we characterize those accessible -categories that have limits of a specified class. We do this by introducing the notion of companion for a…
Virtual concepts in the theory of accessible categories
Stephen Lack, Giacomo Tendas
We provide a new characterization of enriched accessible categories by introducing the two new notions of virtual reflectivity and virtual orthogonality as a generalization of the…
Flat vs. filtered colimits in the enriched context
Stephen Lack, Giacomo Tendas
The importance of accessible categories has been widely recognized; they can be described as those freely generated in some precise sense by a small set of objects and, because of…
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)…
Enriched Regular Theories
Stephen Lack, Giacomo Tendas
Regular and exact categories were first introduced by Michael Barr in 1971; since then, the theory has developed and found many applications in algebra, geometry, and logic. In par…