thick subcategory



thick subcategory

A subcategory of a stable \infty-category \mathcal{C} is called thick if it contains the zero object, and is closed under the formation of fibres, cofibres, and retracts. Given an object X \in \mathcal{C}, we write \operatorname{Thick}_{\mathcal{C}}(X) for the thick subcategory generated by X.

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#higher-algebra/infty-cats #todo/add-references