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A coherence theorem for pseudo symmetric multifunctors
Theory and applications of categories, Tome 41 (2024), pp. 1644-1678

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Donald Yau defined the notion of pseudo symmetric Cat-enriched multifunctor between Cat-enriched multicategories and proved that Mandell's inverse K-theory multifunctor is pseudo symmetric. We prove a coherence theorem for pseudo symmetric Cat-enriched multifunctors. As an application we prove that pseudo symmetric Cat-enriched multifunctors, and in particular Mandell's inverse K-theory, preserve Σ-free E_n-algebras (n=1,2,...,∞), at the cost of changing the parameterizing Σ-free E_n-operad O for the Σ-free E_n-operad O x EΣ_*.

Publié le :
Classification : Primary 18M65, 19D23, Secondary 55P47, 55P43.
Keywords: Multicategories, K-theory 
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     author = {Diego Manco},
     title = {A coherence theorem for pseudo symmetric multifunctors},
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     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a46/}
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Diego Manco. A coherence theorem for pseudo symmetric multifunctors. Theory and applications of categories, Tome 41 (2024), pp. 1644-1678. http://geodesic.mathdoc.fr/item/TAC_2024_41_a46/