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For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.

3 votes
1 answer
242 views

Can there be a cospan of symmetric monoidal $\infty$-categories whose maps are lax symmetric...

Given symmetric monoidal $\infty$-categories $A, B, C$ and lax symmetric monoidal maps $F:A\to C$, $G:B\to C$, I am curious if the pullback (when I say pullback here I will really mean homotopy pullba …
Logan Hyslop's user avatar
2 votes
Accepted

Can there be a cospan of symmetric monoidal $\infty$-categories whose maps are lax symmetric...

Oops, this is actually not hard, just using 1-categories. Explicitly, take two maps from the terminal category to Ab, one landing in $\mathbb{Z}$, one landing in 0, both are lax symmetric monoidal. …
Logan Hyslop's user avatar