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arXiv · 1404.6557

Finite functorial semi-norms and representability

Clara Loeh
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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.

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Clara Loeh. 2015-07-23. Finite functorial semi-norms and representability. https://doi.org/10.1093/imrn%2Frnv250

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