Finite functorial semi-norms and representability
Algebraic Topology
2015-09-08 v3
Abstract
Functorial semi-norms are semi-normed refinements of functors such as singular (co)homology. We investigate how different types of representability affect the (non-)triviality of finite functorial semi-norms on certain functors or classes. In particular, we consider representable functors, generalised cohomology theories, and so-called weakly flexible homology classes in singular homology and l1-homology.
Cite
@article{arxiv.1404.6557,
title = {Finite functorial semi-norms and representability},
author = {Clara Loeh},
journal= {arXiv preprint arXiv:1404.6557},
year = {2015}
}
Comments
18 pages; v3: small changes as suggested by the referee; v2: clarified Example 4.3, added reference