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A basic question for any property of quasi--coherent sheaves on a scheme $X$is whether the property is local, that is, it can be defined using any openaffine covering of $X$. Locality follows from the descent of the correspondingmodule property: for (infinite dimensional) vector bundles and Drinfeld vectorbundles, it was proved by Kaplansky's technique of d\'evissage already in\cite[II.\S3]{RG}. Since vector bundles coincide with $\aleph_0$-restrictedDrinfeld vector bundles, a question arose in \cite{EGPT} of whether localityholds for $\kappa$-restricted Drinfeld vector bundles for each infinitecardinal $\kappa$. We give a positive answer here by replacing the d\' evissagewith its recent refinement involving $\mathcal C$-filtrations and the HillLemma.

Descent of restricted flat Mittag-Leffler modules and generalized vector bundles