  In the work of Hoshino, Kato and Miyachi, the authors look at t-structures
induced by a compact object, C, of a triangulated category, T, which is rigid
in the sense of Iyama and Yoshino. Hoshino, Kato and Miyachi show that such an
object yields a non-degenerate t-structure on T whose heart es equivalent to
Mod(End(C)^op). Rigid objects in a triangulated category can be thought of as
behaving like chain differential graded algebras (DGAs).
  Analogously, looking at objects which behave like cochain DGAs naturally
gives the dual notion of a corigid object. Here, we see that a compact corigid
object, S, of a triangulated category, T, induces a structure similar to a
t-structure which we shall call a co-t-structure. We also show that the coheart
of this non-degenerate co-t-structure is equivalent to Mod(End(S)^op), and
hence an abelian subcategory of T.
