  Neutrino-mass textures proposed at high-scales are known to be unstable
against radiative corrections especially for nearly degenerate eigen values.
Within the renormalization group constraints we find a mechanism in a class of
gauge theories which guarantees reproduction of any high-scale texture at low
energies with radiative stability. We also show how the mechanism explains
solar and atmospheric neutrino anomalies through the bimaximal texture at high
scale.
