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Jan 24, 2023 at 20:25 comment added Ali Taghavi @DaveLRenfro Thank you very much for the linked you share me.
Jan 23, 2023 at 16:58 comment added Dave L Renfro No time now to think much about your question, and in any event it's likely that I don't know enough about possible metric space pathologies relevant in this context to say anything nontrivial, but possibly useful might be the references in my answers to How can dimension depend on the point? AND Metric dimensions properties not in $\mathbb{R}^d$ AND Existence of dimension function (i.e., exact gauge function).
Jan 23, 2023 at 15:32 history edited Ali Taghavi CC BY-SA 4.0
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Jan 23, 2023 at 15:04 history edited leo monsaingeon CC BY-SA 4.0
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Jan 23, 2023 at 14:07 history asked Ali Taghavi CC BY-SA 4.0