Abstract
By inspiring ourselves in Drinfeld's DG quotient, we develop Postnikov towers, k-invariants and an obstruction theory for dg categories. As an application, we obtain the following 'rigiclification' theorem: let A be a homologically connective dg category and F-0 : B -> H-0(A) a dg functor to its homotopy category. If the inductive family {omega(n)(F-n)}n >= 0 of obstruction classes vanishes, then a lift F : B -> A for F-0 exists. (c) 2009 Elsevier Inc. All rights reserved.
Original language | Unknown |
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Pages (from-to) | 3850-3877 |
Journal | Journal of Algebra |
Volume | 321 |
Issue number | 12 |
DOIs | |
Publication status | Published - 1 Jan 2009 |