  We apply the Thom-Milnor theorem to obtain the upper bounds on the amount of
isolated (1) critical points of a potential generated by several fixed point
charges(Maxwell's problem on point charges), (2) critical points of SINR, (3)
critical points of a potential generated by several fixed Newtonian point
masses augmented with a quadratic term, (4) central configurations in the
$n$-body problem. In particular, we get an exponential bound for Maxwell's
problem and the polynomial bound for the case of an "even dimensional"
potential in Maxwell's problem.
