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MR2538013 (2011e:18021) 18E30 (13D10 16E35 16E45)
Efimov, Alexander I.; Lunts, Valery A.; Orlov, Dmitri O. Deformation theory of objects in homotopy and derived categories. I. General theory. Adv. Math. 222 (2009), no. 2, 359–401.
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