Geodesic
On some problems of topological dimension theory
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 2, pp. 361-398

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This survey is devoted to problems in dimension theory related to the works of Smirnov. New results concern the dimensions of subsets of manifolds. Under the continuum hypothesis we construct two infinite-dimensional 4-manifolds. The first is a manifold “without intermediate dimensions”, that is, every closed subset of it is either infinite-dimensional or of dimension at most four. In the second manifold the dimensions of open subsets take infinitely many values. 
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     author = {V. V. Fedorchuk},
     title = {On some problems of topological dimension theory},
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V. V. Fedorchuk. On some problems of topological dimension theory. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 2, pp. 361-398. http://geodesic.mathdoc.fr/item/RM_2002_57_2_a3/