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arXiv:1404.6557 [math.AT]AbstractReferencesReviewsResources

Finite functorial semi-norms and representability

Clara Loeh

Published 2014-04-25, updated 2015-03-24Version 2

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.

Comments: 18 pages; v2: clarified Example 4.3, added reference
Categories: math.AT
Subjects: 55N10, 55N35, 57N65
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