Semi-tilting complexes

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Silting Objects (2018, background): “Results of Mendoza, Sáenz, Santiago and Souto Salorio [78], Wei [98], Keller and Nicolás [65], and Koenig and Yang [68] establish important correspondences relating silting complexes, t-structures and co-t-structures.”
Torsion pairs in silting theory (2016, unknown): “6] that a silting object T of D(A) lying in K(Proj(A)) gives rise to a suspended TTF triple, that is, the silting t-structure (T⊥>0 ,T⊥≤0) admits a left adjacent co-t-structure with coheart Add(T ) (see also [39]).”
Realisation functors in tilting theory (2015, background): “2] that any silting complexM in D(A) following the definition in [8,78] is silting according to our definition.”
Silting theory in triangulated categories with coproducts (2015, background): “When A is an ordinary algebra, one can easily see that a bounded silting object of D(A) is exactly what is called a semi-tilting complex in [62] and a big silting complex in [4].”
Silting modules (2014, background): “We leave to the reader to check that two of those properties (b eing specially covariantly finite and coresolving, as defined in [40]) correspond exactly to the statement that (⊥0(U[1]),U) is a co-t-structure inD−(A).”