Geodesic
A Degeneracy Criterion for $A_\infty$-Structures
Matematičeskie zametki, Tome 69 (2001) no. 6, pp. 906-911

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In the paper conditions are found under which the $A_\infty$-structure on the homology of a differential algebra degenerates. Examples of such algebras are given. In particular, it is shown that the $A_\infty$-algebra structure on the Milnor coalgebra degenerates, and that if the cohomology of a topological space is a polynomial algebra, then the $A_\infty$-algebra structure on it degenerates. 
@article{MZM_2001_69_6_a9,
     author = {V. A. Smirnov},
     title = {A {Degeneracy} {Criterion} for $A_\infty${-Structures}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {906--911},
     publisher = {mathdoc},
     volume = {69},
     number = {6},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_6_a9/}
}
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V. A. Smirnov. A Degeneracy Criterion for $A_\infty$-Structures. Matematičeskie zametki, Tome 69 (2001) no. 6, pp. 906-911. http://geodesic.mathdoc.fr/item/MZM_2001_69_6_a9/