Postnikov towers, k-invariants and obstruction theory for DG categories
K-Theory and Homology
2008-05-30 v1 Algebraic Topology
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 `rigidification' theorem: let A be a homologically connective dg category and F:B -> H0(A) a dg functor to its homotopy category. If the family of obstruction classes vanishes, then a lift for F exists.
Keywords
Cite
@article{arxiv.0805.4483,
title = {Postnikov towers, k-invariants and obstruction theory for DG categories},
author = {Goncalo Tabuada},
journal= {arXiv preprint arXiv:0805.4483},
year = {2008}
}
Comments
27 pages