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On p. 5 of the above article it says that all dgc-algebras are assumed to be equal to the ground field in degree 0.
But is this really what is meant?
I donâ€™t see it being used. On the contrary: Later on the simplicial sets seem to be meant to be just pointed, not reduced, so that the PL-de Rham functor would not take them to dgc-algebras with that property.
The discussion on p. suggests that what is actually used is that the dgc-algebras are unital.
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