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Duality of moduli in regular toroidal metric spaces

Authors: Lohvansuu Atte;

Duality of moduli in regular toroidal metric spaces

Abstract

We generalize a result of Freedman and He, concerning the duality of moduli and capacities in solid tori, to sufficiently regular metric spaces. This is a continuation of the work of the author and K. Rajala on the corresponding duality in condensers.

Country
Finland
Related Organizations
Keywords

Length, area, volume, other geometric measure theory, 30L10, 30C65, 28A75, 51F99, metric spaces, ta111, torus, Metric Geometry (math.MG), Metric geometry, metriset avaruudet, funktioteoria, Mathematics - Metric Geometry, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, modulus, Quasiconformal mappings in metric spaces, FOS: Mathematics, Matematiikka, duality, mittateoria, geometria, Mathematics, capacities

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
Published in a Diamond OA journal
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