  We prove that there is a map from Bloch's cycle complex to Kato's complex of
Milnor K-theory, which induces a quasi-isomorphism from \'{e}tale sheafified
cycle complex to the Gersten complex of logarithmic de Rham--Witt sheaves. Next
we show that the truncation of Bloch's cycle complex at -3 is quasi-isomorphic
to Spiess' dualizing complex.
