  We show that quadratic and symmetric L-theory of the integers are related by
Anderson duality and show that both spectra split integrally into the L-theory
of the real numbers and a generalised Eilenberg-Mac Lane spectrum. As a
consequence, we obtain a corresponding splitting of the space G/Top. Finally,
we prove analogous results for the genuine L-spectra recently devised for the
study of Grothendieck--Witt theory.
