no. 2
Simplicial n-fold monoidal categories model all loop spaces
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003) no. 2, pp. 105-148. 
@article{CTGDC_2003__44_2_105_0,
     author = {Fiedorowicz and Vogt},
     title = {Simplicial $n$-fold monoidal categories model all loop spaces},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {105--148},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {44},
     number = {2},
     year = {2003},
     mrnumber = {1985834},
     zbl = {1052.18002},
     language = {en},
     url = {http://archive.numdam.org/item/CTGDC_2003__44_2_105_0/}
}
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Fiedorowicz; Vogt. Simplicial $n$-fold monoidal categories model all loop spaces. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003) no. 2, pp. 105-148. http://archive.numdam.org/item/CTGDC_2003__44_2_105_0/

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