T-structures on triangulated categories were introduced in the early eighties by Beillison,
Berstein and Deligne in their study of the perverse sheaves on an algebraic or an analytic
variety (see [2]). The main discovery of this concept was the existence of an abelian
category, called the heart of the t-structure, which allowed the development of a homology
theory what is intrinsic to the triangulated category. In [1], Alonso, Jeremías and Saorín
classify all the compactly generated t-structures on the derived category of a commutative …