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Sep 8, 2014 at 8:07 comment added Tom Bachmann Mikhail, either of the papers you reference answers my question in quite some generality. If you make your comment an answer I'd like to accept it.
Sep 5, 2014 at 21:08 comment added Mikhail Bondarko You can have a look at Theorem 1.3 of Hoshino M.; Kato Y.; Miyachi J.-I. On t-structures and torsion theories induced by compact objects, J. of Pure and Appl. Algebra, vol. 167, n. 1, 2002, 15-35, or at my Theorem 4.5.2 in arxiv.org/abs/0704.4003
Sep 5, 2014 at 20:06 history edited David White CC BY-SA 3.0
Fixed typo since it was on the frontpage anyway
Sep 5, 2014 at 16:36 answer added Peter May timeline score: 4
Sep 5, 2014 at 13:03 comment added Lennart Meier You have indeed a t-structure if $A$ is connective, at least non-equivariantly. See for example Proposition 4.4.6 in Lurie's arxiv.org/pdf/math/0702299v5.pdf (Note that he uses Ext for homotopy classes)
Sep 5, 2014 at 12:25 history edited Tom Bachmann CC BY-SA 3.0
added 4 characters in body
Sep 5, 2014 at 12:05 history asked Tom Bachmann CC BY-SA 3.0