paper

Exotic finite functorial semi-norms on singular homology

arXiv:1605.04093 · doi:10.1017/S0017089518000216

Abstract

Functorial semi-norms on singular homology give refined "size" information on singular homology classes. A fundamental example is the l^1-semi-norm. We show that there exist finite functorial semi-norms on singular homology that are exotic in the sense that they are not carried by the l^1-semi-norm.

8 pages