Keywords: Navier-Stokes equations, partial regularity,
Hausdorff dimension, fractal dimension.
Abstract: A classical result of Caffarelli, Kohn, and Nirenberg states
that the one dimensional Hausdorff measure of singularities
of a suitable weak solution of the Navier-Stokes system is
zero. We present a short proof of the partial regularity
result which allows the force to belong to a singular Morrey
space. We also provide a new upper bound for the fractal
dimension of the singular set.