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https://github.com/ammedmar/bialgebra_on_cubes

Algebraic E-infinity structure on cubical sets
https://github.com/ammedmar/bialgebra_on_cubes

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Algebraic E-infinity structure on cubical sets

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# Algebraic E_infinity bialgebra on cubes

In this notebook we implement a natural $E_\infty$-bialgebra structures on the chains of the standard infinite cube using the finitely presented $E_\infty$-prop of [[1]](https://arxiv.org/abs/1808.00854). This natural bialgebra induces an $E_\infty$-algebra structure on the cochains of any cubical set.