Transfer of homological objects in exact categories via adjoint triples. Applications to functor categories

Sergio Estrada, Manuel Cortés-Izurdiaga, Sinem Odabasi

For a given family $\{({\mathrm{q}}_i,{\mathrm{t}}_i,{\mathrm{p}}_{\mathrm{i}}){\}}_{i\in I}$ of adjoint triples between exact categories $\mathcal{C}$ or $\mathcal{D}$, we show that any cotorsio…