Geodesic
Upper bounds of topologies
Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 489-500 
E. G. Pytkeev. Upper bounds of topologies. Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 489-500. http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a3/
@article{MZM_1976_20_4_a3,
     author = {E. G. Pytkeev},
     title = {Upper bounds of topologies},
     journal = {Matemati\v{c}eskie zametki},
     pages = {489--500},
     year = {1976},
     volume = {20},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The topology of a space $(X,\tau)$ homeomorphic to a non-$\sigma$-compact separable Borel set is equal to the upper bound of two topologies of the Hilbert cube. In particular, $(X,\tau)$ condenses to a compact space. The topology of a complete zero-dimensional metric space is the upper bound of two compact topologies. In particular, it dominates a compact Hausdorff topology.