ScalingStacks

Definition 4.7. Let

$$\Upsilon(\mathcal{C})\subset\mathrm{Fun}_{\Delta}(\mathfrak{C}[\mathcal{C}]^{\op},{\mathcal{S}})$$

denote the full spectral subcategory spanned by those (projectively) cofibrant and fibrant functors which are stably representable.