  The only known general base to eliminate the vacuum divergencies of quantized
matter fields in quantum geometrodynamics is the fermion-boson supersymmetry.
The topological effect of the closed Universe -- discretization of the vacuum
fluctuations spectra -- allows to formulate the conditions of cancellation of
the divergencies. In the center of attention of this work is the fact that
these conditions result in the considerable restrictions on the gauge and
factor-ordering ambiguities peculiar to the equations of the theory and, in the
limits of the isotropic model of the Universe, remove these ambiguities
completely.
