ScalingStacks

0N41

Corollary 3.12. For 𝒱\mathcal{V} a symmetric monoidal ∞\oo-category which is βŠ—\otimes-presentable, and for R:π’Ÿβ€‹π—‚π—Œπ—„πŸ£βˆ‚,π—ˆπ—‹β†’π’±R:\disk^{\partial,{\sf or}}_{1}\rightarrow\mathcal{V} a symmetric monoidal functor, there is a natural equivalence in 𝒱\mathcal{V}:

R([βˆ’1,1))⨂R⁑((,,,))R((βˆ’1,1])β†’β‰ƒβˆ«[βˆ’1,1]R.R\bigl([-1,1)\bigr)\underset{R\bigl((-1,1)\bigr)}{\bigotimes}R\bigl((-1,1]\bigr)\xrightarrow{~\simeq~}\int_{[-1,1]}R~.

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

David Ayala, John Francis

Original source: arXiv:1206.5522v6