The tensor functor from the category of $A_\infty$-algebras into the category of differential modules with $\infty$-simplicial faces

S. V. Lapin

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arXiv · 1903.00869

The tensor functor from the category of $A_\infty$-algebras into the category of differential modules with $\infty$-simplicial faces

S. V. Lapin

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Abstract

The tensor functor from the category of $A_\infty$-algebras into the category of differential modules with $\infty$-simplicial faces is constructed. Further, it is showed that this functor sends homotopy equivalent $A_\infty$-algebras into homotopy equivalent differential modules with $\infty$-simplicial faces.

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S. V. Lapin. 2019-03-03. The tensor functor from the category of $A_\infty$-algebras into the category of differential modules with $\infty$-simplicial faces. https://arxiv.org/abs/1903.00869

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