Geodesic
Elementarity and Dimensions
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 292-298

Voir la notice de l'article provenant de la source Math-Net.Ru

An alternative proof of Fedorchuk's recent result that $\dim X\le\operatorname{Dg}X$ for compact Hausdorff spaces X is given. The problem is reduced to the metric case by using the Lowenheim–Skolem theorem. 
@article{MZM_2005_78_2_a14,
     author = {K. P. Hart},
     title = {Elementarity and {Dimensions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {292--298},
     publisher = {mathdoc},
     volume = {78},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a14/}
}
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K. P. Hart. Elementarity and Dimensions. Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 292-298. http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a14/