2000 character limit reached
Locally rigid $\infty$-categories
Published 28 Oct 2024 in math.CT, math.AT, and math.KT | (2410.21524v1)
Abstract: We survey the theory of locally rigid and rigid symmetric monoidal $\infty$-categories over an arbitrary base $\mathcal{V}\in\mathrm{CAlg}(\mathbf{Pr}\mathrm{L})$. Along the way, we introduce and study ``$\mathcal{V}$-atomic morphisms'', which are analogues of compact morphisms over an arbitrary base $\mathcal{V}$.
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