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EXOTIC FINITE FUNCTORIAL SEMI-NORMS ON SINGULAR HOMOLOGY

Published online by Cambridge University Press:  20 June 2018

DANIEL FAUSER
Affiliation:
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany e-mails: [email protected], [email protected]
CLARA LÖH
Affiliation:
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany e-mails: [email protected], [email protected]
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Abstract

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Functorial semi-norms on singular homology give refined ‘size’ information on singular homology classes. A fundamental example is the ℓ1-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 ℓ1-semi-norm.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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