Geodesic
Summation theorem for inductive dimensions
Matematičeskie zametki, Tome 52 (1992) no. 3, pp. 89-95.

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A bicompactum with $\dim=1$ and $\operatorname{ind}=\operatorname{Ind}=3$, whichis the union of three of its own closed subsets, each of which is one-dimensional in all senses, is constructed. 
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     author = {S. V. Kotkin},
     title = {Summation theorem for inductive dimensions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {89--95},
     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a8/}
}
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S. V. Kotkin. Summation theorem for inductive dimensions. Matematičeskie zametki, Tome 52 (1992) no. 3, pp. 89-95. http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a8/