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The Choquet and Kellogg properties for the fine topology when $p=1$ in metric spaces

Published 21 Dec 2017 in math.MG | (1712.08027v1)

Abstract: In the setting of a complete metric space that is equipped with a doubling measure and supports a Poincar\'e inequality, we prove the fine Kellogg property, the quasi-Lindel\"of principle, and the Choquet property for the fine topology in the case $p=1$.

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