This note is motivated by recent studies by Eriksson-Bique and Soultanis about the construction of charts in general metric measure spaces. We analyze their construction and provide an alternative and simpler proof of the fact that these charts exist on sets of finite Hausdorff dimension. The observation made here offers also some simplification about the study of the relation between the reference measure and the charts in the setting of RCD spaces
A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces / Gigli, Nicola; Gennaioli, Luca. - In: CANADIAN MATHEMATICAL BULLETIN. - ISSN 0008-4395. - (2024), pp. 1-9. [10.4153/S0008439523000486]
A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces
Gigli, Nicola;Gennaioli, Luca
2024-01-01
Abstract
This note is motivated by recent studies by Eriksson-Bique and Soultanis about the construction of charts in general metric measure spaces. We analyze their construction and provide an alternative and simpler proof of the fact that these charts exist on sets of finite Hausdorff dimension. The observation made here offers also some simplification about the study of the relation between the reference measure and the charts in the setting of RCD spaces| File | Dimensione | Formato | |
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