  We describe in details the procedure how the Lobachevsky space can be
factorized to a space of the constant negative curvature filled with a gas of
wormholes. We show that such wormholes have throat sections in the form of tori
and are traversable and stable in the cosmological context. The relation of
such wormholes to the dark matter phenomenon is briefly described. We also
discuss the possibility of the existence of analogous factorizations for all
types of homogeneous spaces.
