• Tags
  • #higher-algebra/infty-cats
• Refs:
  • #todo/add-references
• Links:
  • Balmer spectrum
  • triangulated category

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 \(X\).