We initiate the study of derived functors in the setting of extriangulated categories. By using
coends, we adapt Yoneda's theory of higher extensions to this framework. We show that …

Co-t-structures were introduced about ten years ago as a type of mirror image of t-structures.
Like t-structures, they permit us to divide an object in a triangulated category T into a “left …

We provide various ways to characterise $\Sigma $-pure-injective objects in a compactly
generated triangulated category. These characterisations mimic analogous well-known …

arXiv:1010.0146v1 [math.CT] 1 Oct 2010 Page 1 arXiv:1010.0146v1 [math.CT] 1 Oct 2010
THICK SUBCATEGORIES OF FINITE ALGEBRAIC TRIANGULATED CATEGORIES …

We define admissible and weakly admissible subcategories in exact categories and prove
that the former induce semi-orthogonal decompositions on the derived categories. We …

The concept of generalised species of structures between small categories and,
correspondingly, that of generalised analytic functor between presheaf categories are …

We study a number of categorical quasi-uniform structures induced by functors. We depart
from a category $\mathcal {C} $ with a proper $(\mathcal {E},\mathcal {M}) $-factorization …

The Karoubi envelope and weak idempotent completion of an extriangulated category | Applied
Categorical Structures Skip to main content SpringerLink Account Menu Find a journal Publish …

Algebraic models of cubical weak ∞-categories with connections Page 1 Volume 16, Number
1, January 2022, 143-187. https://doi.org/10.52547/cgasa.16.1.143 Algebraic models of …

For a length abelian category, we show that all torsion-free classes can be classified by
using only the information on bricks, including non functorially-finite ones. The idea is to …