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Max
  • Member for 10 years, 1 month
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Boardman-Vogt tensor product
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Boardman-Vogt tensor product
@AndreaGagna, a morphism between two operads $f:A\rightarrow B$ is a weak equivalence (fibration) if $f_{n}: A(n)\rightarrow B(n)$ is a weak equivalence (fibration) of simplicial sets for any $n$.
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Boardman-Vogt tensor product
yes, P and Q are cofibrant :) thanks for your remark.
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fake $S^{2k}\times S^{2k}$
Sorry for my ignorance :) I did not understand what do you mean by $S^{Top}(X)$ ? What is $Aut(X)$ ? is it the group $\pi_{0}$ of the space of self equivalences of $X$, thank you.
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$E_n$-space and n-connected pointed space
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$E_n$-space and n-connected pointed space
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Is the classifying space of a symmetric monoidal category an infinite loop space?
in general $BC$ is an $E_{\infty}$-space and in the case where $\pi_{0}BC$ is a group (abelian in this case) then $BC$ is an infinite loop space.
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from a circle to higher spheres
So the group $G$ is the the additive group of real numbers $\mathbf{R}$ ?