ScalingStacks

[05XI]

Lemma 2.3.5. Given a pointed ∞\infty-operad 𝒪X\mathcal{O}_{X}, there is a homotopy equivalence

𝒪X,𝐒𝐒𝐞𝐪​(n)≃Mul𝒪⁡(X(n);X),\mathcal{O}_{X,\mathbf{SSeq}}(n)\simeq\operatorname{Mul}_{\mathcal{O}}(X^{(n)};X),

which is natural in 𝒪X\mathcal{O}_{X}.

[05XJ]

Proof. This follows directly from unwinding 2.3.3. ∎

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

Tomer Schlank, Lior Yanovski

Original source: arXiv:1808.06006v3

Original source page 15

Original source · 1808.06006v3