Homotopy classification of morphisms of differential graded algebras.

We present homotopy classification of morphisms of differential graded algebras f : A → A ′ {f:A\to A^{\prime}} in terms of induced A ∞ {A_{\infty}} -algebra morphisms of corresponding minimal models { f i } : (H ⁢ (A) , { m i }) → (H ⁢ (A ′) , { m i ′ }) {\{f_{i}\}\kern-1.0pt:\kern-1.0pt(H(A),\{m_{i}\})\kern-1.0pt\to\kern-1.0pt(H(A% ^{\prime}),\{m^{\prime}_{i}\})}. [ABSTRACT FROM AUTHOR]