Abstract
The notion ofA ∞-topological group is introduced. It is proved that, if a space\(\tilde G\) is obtained by deformation retraction of a topological groupG, then it has the structure of anA ∞-topological group, and theA ∞-homotopy equivalence\(\tilde G \simeq G\) holds.
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Translated fromMatematicheskie Zametki, Vol. 66, No. 6, pp. 913–919, December, 1999.
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Smirnov, V.A. A ∞-simplicial objects andA ∞-topological groups. Math Notes 66, 754–759 (1999). https://doi.org/10.1007/BF02674333
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DOI: https://doi.org/10.1007/BF02674333