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arxiv: 1404.6557 · v3 · pith:UIAWUTZOnew · submitted 2014-04-25 · 🧮 math.AT

Finite functorial semi-norms and representability

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keywords functorialfunctorshomologysemi-normsclassesfiniterepresentabilitysingular
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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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