… generated t-structures (in any ambient triangulated category with coproducts), we prove
that the heart is a locally finitely presented Grothendieck category. We use functor categories …

… when the heart of a t-structure is a Grothendieck category, … in the derived category of a
Grothendieck category associated to … information on the HRS t-structures which have a projective …

… We study t-structures with Grothendieck hearts on compactly … categories \({\mathcal {T}}\)
that are underlying categories of … two kinds of smashing t-structure with Grothendieck hearts: …

… triangulated category, then the heart of … heart of any compactly generated t-structure of a
well-generated algebraic or topological triangulated category is a Grothendieck Abelian category…

… of an arbitrary Grothendieck category equipped with a TTF triple. In view of this result, a large
part of the chapter is focused in specialising it to the hearts of the t-structures of our interest, …

… of “Grothendieck categories”, our result only shows that the chosen family of “Grothendieck
categories” can … that the heart of the t-structure is a Grothendieck category and the homotopy …

… category is the (unbounded) derived category of a module or Grothendieck category and the
t… its heart is a Grothendieck category, for which most of the time a model for D, as a stable ∞-…

… application of their properties to t-structures. In particular, we prove that the hearts of compactly
generated t-structures are Grothendieck abelian categories; this statement strengthens …

… with coproduct is a locally finitely presented Grothendieck category, we study the local … on
t-structures and hearts in the derived category of a commutative ring. Here, the t-structures we …

… categories, we consider the hearts of intermediate and restrictable t-structures in the
derived category … For any I ∈ Cat we consider the Grothendieck category G I of all I-shaped …