A note on weak solutions to the Navier–Stokes equations that are locally in $L_\infty(L^{3,\infty})$

The objective of the note is to prove a regularity result for weak solutions to the Navier–Stokes equations that are locally in $L_\infty(L^{3,\infty})$. It reads that, in a sense, the number of singular points at each time is at most finite. This note is inspired by a recent paper of H. J. Choe, J. Wolf, M. Yang.