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5
votes
1
answer
549
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Coherence theorem for symmetric lax monoidal functors
Let $V$ and $W$ be symmetric monoidal categories. Let $F:V\to W$ be a lax symmetric monoidal functor with multiplication $\nabla:FA\otimes FB \to F(A\otimes B)$. Consider the following statements:
1) …
8
votes
2
answers
713
views
Special $\Gamma$-categories and symmetric monoidal categories
Let $\Gamma^{op}$ be the category of finite pointed sets. A special $\Gamma$-category is a functor $Y:\Gamma^{op}\to Cat$ such that the canonical maps $Y[n]\to Y[1]^n$, called Segal maps, are equivale …