Geodesic
Solution of a problem of P.\,S.~Aleksandrov. (A~compact space with distinct inductive dimensions)
Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 41-57

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A compact space $X$ with $\operatorname{dim}X=\operatorname{ind}X=2$, $\operatorname{Ind}X=3$ is constructed. This answers in the negative a question of P. S. Aleksandrov whether $\operatorname{ind}$ and $\operatorname{Ind}$ coincide for compact spaces. Bibliography: 14 titles. 
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     author = {V. V. Filippov},
     title = {Solution of a problem of {P.\,S.~Aleksandrov.} {(A~compact} space with distinct inductive dimensions)},
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V. V. Filippov. Solution of a problem of P.\,S.~Aleksandrov. (A~compact space with distinct inductive dimensions). Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 41-57. http://geodesic.mathdoc.fr/item/SM_1970_12_1_a2/