Geodesic
Homotopy type and $A_\infty$-group structure
Sbornik. Mathematics, Tome 189 (1998) no. 10, pp. 1563-1572 
V. A. Smirnov. Homotopy type and $A_\infty$-group structure. Sbornik. Mathematics, Tome 189 (1998) no. 10, pp. 1563-1572. http://geodesic.mathdoc.fr/item/SM_1998_189_10_a6/
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     title = {Homotopy type and $A_\infty$-group structure},
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     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_10_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of the paper is to define and study algebraic operations closely related to the group structure on the homotopy groups of topological spaces. These are certain many-place operations on the homotopy groups. The family of these operations induces an algebraic structure on the homotopy groups, which is called an $A_\infty$-group structure by analogy with the $A_\infty$-structures introduced by Stasheff.

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