An *$E_\infty$-space* is an commutative ∞-monoid in Top.

Grouplike $E_\infty$-spaces are equivalently infinite loop spaces. See there for more details.

- Peter May with contributions by Frank Quinn, Nigel Ray and Jørgen Tornehave,
*$E_\infty$-Ring spaces and $E_\infty$ ring spectra*, Lecture Notes in Mathematics 577, Springer 1977 (pdf, cds:1690879)

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