  V.V.Grushin and V.P.Palamodov proved in 1962 that it is impossible to place
in $R^3$ uncountably many pairwise disjoint polyhedra each homeomorphic to the
Moebius band. We generalize this result in two directions. First, we give a
generalization of this result to tame subsets in $R^N$, $N\geqslant 3$. Second,
we show that in case of $R^3$ the theorem holds for arbitrarily topologically
embedded (not necessarily tame) Moebius bands.
