Concentration function for pyramid and quantum metric measure space

In this paper, we generalize the concentration function for metric measure space to one for pyramid and quantum metric measure space. We also study the limit of the concentration function for convergent sequences of pyramids and quantum metric measure spaces.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2017-03, Vol.145 (3), p.1301-1315, Article 1301
Main Author: Ozawa, Ryunosuke
Format: Article
Language:English
Subjects:
D. GEOMETRY
Research article
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Summary:In this paper, we generalize the concentration function for metric measure space to one for pyramid and quantum metric measure space. We also study the limit of the concentration function for convergent sequences of pyramids and quantum metric measure spaces.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13282