An explicit non-inductive twisting function is constructed for the twisted tensor product from any twisted cartesian product of simplicial sets by selecting a specific monoid morphism from Kan's loop group to Moore loop spaces.
Berger, Un groupoïde simplicial comme modèle de l’espace des chemins , Bulletin de la S
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On twisting functions in twisted cartesian products and twisted tensor products
An explicit non-inductive twisting function is constructed for the twisted tensor product from any twisted cartesian product of simplicial sets by selecting a specific monoid morphism from Kan's loop group to Moore loop spaces.