Geodesic
A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 49-59

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DOI

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 $\text {RCD}$ spaces.
DOI : 10.4153/S0008439523000486
Mots-clés : Charts, metric measure spaces 
Gennaioli, Luca; Gigli, Nicola. A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 49-59. doi: 10.4153/S0008439523000486
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     title = {A note about charts built by {Eriksson-Bique} and {Soultanis} on metric measure spaces},
     journal = {Canadian mathematical bulletin},
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