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arxiv: 1605.04093 · v1 · pith:7RPW3N6Knew · submitted 2016-05-13 · 🧮 math.GT

Exotic finite functorial semi-norms on singular homology

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keywords homologysingularfunctorialsemi-normsexoticfinitesemi-normcarried
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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.

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