In a triangulated category equipped with a $ t $-structure, we investigate a relation between
ICE-closed (= Image-Cokernel-Extension-closed) subcategories of the heart of the $ t …

We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …

This paper is a sequel to T-structures and twisted complexes on derived injectives by the
same author with W. Lowen and M. Van den Bergh. We define a dg-category of unbounded …

We study projective functors (ie direct summands of compositions of translations through
walls) for parabolic versions of $\cO $ as well as for integral regular blocks outside the …

Let $\mathcal B $ be an extriangulated category with enough projectives and enough
injectives. We define a proper $ m $-term subcategory $\mathcal G $ on $\mathcal B …

Tilting modules, generalising the notion of progenerator, furnish equivalences between
pieces of module categories. This paper is dedicated to study how much these pieces say …

We study ideal cotorsion pairs associated to weak proper classes of triangles in extension
closed subcategories of triangulated categories. This approach allows us to extend the …

We prove a derived version of the Gabriel–Popescu theorem in the framework of dg-
categories and t-structures. This exhibits any pretriangulated dg-category with a suitable t …

Let C be an (d+ 2)-angulated category with an d-suspension functor Σd. Our main results
show that every Serre functor on C is an (d+ 2)-angulated functor. We also show that C has a …

We prove that, under a mild assumption, the heart H‾ of a twin cotorsion pair ((S, T),(U, V))
on a triangulated category C is a quasi-abelian category. If C is also Krull-Schmidt and T= U …