Geodesic
Base normal inductive dimension~$\mathrm I$ of cubes
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 2, pp. 113-124.

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It is shown that $\{1,\infty\}$ is the set of possible base normal inductive dimensions $\mathrm I$ of the segment $I=[0,1]$ and $\{n,n+1,\dots,\infty\}$ is the set of possible base normal inductive dimensions $\mathrm I$ of the $n$-dimensional cubes $I^n$ for $n\geq2$. 
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A. V. Karassev; K. L. Kozlov. Base normal inductive dimension~$\mathrm I$ of cubes. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 2, pp. 113-124. http://geodesic.mathdoc.fr/item/FPM_2015_20_2_a7/

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