Title: Domination between different products and finiteness of associated semi-norms,
Abstract: In this note we determine all possible dominations between different products
of manifolds, when none of the factors of the codomain is dominated by
products. As a consequence, we determine the finiteness of every
product-associated functorial semi-norm on the fundamental classes of the
aforementioned products. These results give partial answers to questions of M.
Gromov.