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Jul 1, 2018 at 21:37 comment added Vesselin Dimitrov Somewhat relevant (to my mind) is a paper, On Jordan arcs and Lipschitz classes of functions defined on them (projecteuclid.org/download/pdf_1/euclid.acta/1485889215 ), by Besicovitch and Schoenberg from 1961 in Acta Math., in which they probe the extent to which $[0,1]^2$ may be 'approximated' by an injective continuous image of $[0,1]$. It includes both positive (Theorem 1) and negative (Theorem 2) results.
Jul 1, 2018 at 21:10 answer added James timeline score: 17
Jul 1, 2018 at 20:37 review First posts
Jul 1, 2018 at 20:46
Jul 1, 2018 at 20:34 history asked Milo CC BY-SA 4.0