Domination between different products and finiteness of associated semi-norms
arXiv:1705.09943 · doi:10.5565/publmat6422011
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.
7 pages; v2: small changes, to appear in Publicacions Matemàtiques