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EXOTIC FINITE FUNCTORIAL SEMI-NORMS ON SINGULAR HOMOLOGY

Part of: Topological manifolds Homology and cohomology theories

Published online by Cambridge University Press:  20 June 2018

DANIEL FAUSER  and
CLARA LÖH
DANIEL FAUSER
Affiliation:
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany e-mails: clara.loeh@mathematik.uni-r.de, daniel.fauser@mathematik.uni-r.de
CLARA LÖH
Affiliation:
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany e-mails: clara.loeh@mathematik.uni-r.de, daniel.fauser@mathematik.uni-r.de
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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.

MSC classification

Primary: 55N10: Singular theory
Secondary: 57N65: Algebraic topology of manifolds
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 2 , May 2019 , pp. 287 - 295
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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