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$ A_{fin}$ algebra it is $ A_\infty$ algebra with $ m_n = 0$ for $ n >> 0$ and $ A^i = 0$ for $ |i| >> 0$ . Suppose that we have (compact) dg-algebra $ A$ , we can build $ A_\infty$ minimal model on $ H^*(A)$ what we can say about $ A$Read more