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On coalgebras and comodules in slice $\infty$-categories

Given a presentable Cartesian symmetric monoidal $\infty$-category $C$, every object is a cocommutative comonoid and for a fixed $Z\in C$ there is an equivalence $C_{/Z}\simeq LCoMod_{Z}(C)$ where the …
Jonathan Beardsley's user avatar
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On coalgebras and comodules in slice $\infty$-categories

It is shown in detail how to construct the above described comodule structure on $f\colon X\to Z$ in the thesis of Aras Ergus. Specifically, Construction 2.0.11 of "Hopf algebras and Hopf-Galois exten …
Jonathan Beardsley's user avatar