It is shown that typical compact submanifolds of R n are nowhere differentiable with integer box dimensions.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 7, pp. 1009–1014, July, 2013.
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Mirzaie, R. On Typical Compact Submanifolds of the Euclidean Space. Ukr Math J 65, 1126–1133 (2013). https://doi.org/10.1007/s11253-013-0847-x
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DOI: https://doi.org/10.1007/s11253-013-0847-x