The Homotopy Theory of A∞Categories
Abstract
In this paper we describe the homotopy category of the A∞categories. To do that we introduce the notion of semi-free A∞category, which plays the role of standard cofibration. Moreover, we define the non unital A∞ (resp. DG)categories with cofibrant morphisms and we prove that any non unital A∞ (resp. DG)category has a resolution of this kind.
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