Geodesic
Some continuous decompositions of the space $E^n$
Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 315-326 
Van Ny Kyong. Some continuous decompositions of the space $E^n$. Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 315-326. http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a9/
@article{MZM_1971_10_3_a9,
     author = {Van Ny Kyong},
     title = {Some continuous decompositions of the space~$E^n$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {315--326},
     year = {1971},
     volume = {10},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a9/}
}
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%J Matematičeskie zametki
%D 1971
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Voir la notice de l'article provenant de la source Math-Net.Ru

The main result proved is the following. Let $E_f^{(n)}$ ($n>1$) be a continuous decomposition of $E^{(n)}$ into points and zero-dimensional compact sets $\xi_\lambda$. If $P^*=\bigcup\limits_\lambda\xi_\lambda$ is compact and $\mathrm{dim}\,f(P^*)=0$, then the space $f(E^n)$ can be imbedded in $E^{(n+1)}$.