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math.AT2002
A prismatic decomposition of the Barratt-Eccles operad
Clemens Berger, Benoit Fresse
The Barratt-Eccles operad is a simplicial operad formed by the classical homogeneous bar construction of the symmetric groups. We prove that these simplicial sets decompose as unio…
math.AT2001
Combinatorial operad actions on cochains
Clemens Berger, Benoit Fresse
A classical E-infinity operad is formed by the bar construction of the symmetric groups. Such an operad has been introduced by M. Barratt and P. Eccles in the context of simplicial…