  We show that a topological pump in a one-dimensional (1D) insulator can
induce a strictly quantized transport in an auxiliary chain of non-interacting
fermions weakly coupled to the first. The transported charge is determined by
an integer topological invariant of the ficticious Hamiltonian of the
insulator, given by the covariance matrix of single-particle correlations. If
the original system consists of non-interacting fermions, this number is
identical to the TKNN (Thouless, Kohmoto, Nightinghale, den Nijs) invariant of
the original system and thus the coupling induces a transfer of topology to the
auxiliary chain. When extended to particles with interactions, for which the
TKNN number does not exist, the transported charge in the auxiliary chain
defines a topological invariant for the interacting system. In certain cases
this invariant agrees with the many-body generalization of the TKNN number
introduced by Niu, Thouless, and Wu (NTW). We illustrate the topology transfer
to the auxiliary system for the Rice-Mele model of non-interacting fermions at
half filling and the extended superlattice Bose-Hubbard model at quarter
filling. In the latter case the induced charge pump is fractional.
