We show that Quillenʼs small object argument works for exact categories under very mild
conditions. This has immediate applications to cotorsion pairs and their relation to the …

Derived equivalences and t-structures are closely related. We use realisation functors
associated to t-structures in triangulated categories to establish a derived Morita theory for …

Let C be a set of objects in a triangulated compactly generated category T. We denote by
\calU_C\,(_C\calU) the smallest suspended subcategory closed under coproducts which …

To any triangulated category with tensor product (K,⊗), we associate a topological space
\rmSpc(K,⊗), by means of thick subcategories of K, à la Hopkins-Neeman-Thomason …

In this paper we revisit the problem of determining when the heart of a t-structure is a
Grothendieck category, with special attention to the case of the Happel-Reiten-Smal …

We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …

Assume that R is a non-right perfect ring. Then there is a proper class of classes of (right R-)
modules closed under transfinite extensions lying between the classes P 0 of projective …

We consider an arbitrary Abelian category A and a subcategory T closed under extensions
and direct summands, and characterize those T that are (semi-) special preenveloping in A; …

The paper contains a collection of results related to weight structures, $ t $-structures, and
(more generally) to torsion pairs. For any weight structure $ w $ we study (co) homological …

Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the
derived category D (Mod-R). We determine the simple objects in this heart and their injective …