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8 votes
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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 …
Bruno Stonek's user avatar
  • 3,004
5 votes
1 answer
549 views

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) …
Bruno Stonek's user avatar
  • 3,004