Domination between different products and finiteness of associated semi-norms
Geometric Topology
2020-08-04 v2 Algebraic Topology
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.
Cite
@article{arxiv.1705.09943,
title = {Domination between different products and finiteness of associated semi-norms},
author = {Christoforos Neofytidis},
journal= {arXiv preprint arXiv:1705.09943},
year = {2020}
}
Comments
7 pages; v2: small changes, to appear in Publicacions Matem\`atiques