Geodesic
Manifolds with noncoinciding inductive dimensions
Sbornik. Mathematics, Tome 77 (1994) no. 1, pp. 25-36 Cet article a éte moissonné depuis la source Math-Net.Ru

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Under assumption of the continuum hypothesis, there is constructed for any $n\geqslant3$ a normal countably compact manifold $M^n$ of dimension $$ n=\operatorname{ind}M^n=\dim M^n<\operatorname{Ind}M^n=2n-2. $$ 
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V. V. Fedorchuk; V. V. Filippov. Manifolds with noncoinciding inductive dimensions. Sbornik. Mathematics, Tome 77 (1994) no. 1, pp. 25-36. http://geodesic.mathdoc.fr/item/SM_1994_77_1_a2/

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