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The homotopy theory of dg-categories and derived Morita theory
Inventiones Mathematicae, (2004)
摘要
The main purpose of this work is the study of the homotopy theory of
dg-categories up to quasi-equivalences. Our main result provides a natural
description of the mapping spaces between two dg-categories $C$ and $D$ in
terms of the nerve of a certain category of $(C,D)$-bimodules. We also prove
that the homotopy category $Ho(dg-Cat)$ is c...更多
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