Geodesic
Imbedding of one continuous decomposition of Euclidean $E^n$-space into another
Sbornik. Mathematics, Tome 12 (1970) no. 4, pp. 543-551 
Van Ni Kyong. Imbedding of one continuous decomposition of Euclidean $E^n$-space into another. Sbornik. Mathematics, Tome 12 (1970) no. 4, pp. 543-551. http://geodesic.mathdoc.fr/item/SM_1970_12_4_a4/
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     author = {Van Ni Kyong},
     title = {Imbedding of one continuous decomposition of {Euclidean} $E^n$-space into another},
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     volume = {12},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_12_4_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The author proves that if $G$ is a continuous decomposition of $E^n$ ($n>2$) into zero-dimensional compacta such that $\dim P_G(G^*)=0$, then the space $E^n/G$ is embeddable in $E^{n+2}$. He employs the notion of one embedding of a continuous decomposition into another. Furthermore, he considers several sufficient conditions under which $E^n/G$ is embeddable into $E^{n+1}$. Bibliography: 4 titles.

[1] Van Ni Kyong, “Nekotorye nepreryvnye razbieniya prostranstva $E^n$”, Matem. zametki, 10 (1971), 315–326 | MR | Zbl

[2] L. V. Keldysh, Topologicheskie vlozheniya v evklidovo prostranstvo, Trudy Matem. in-ta im. V. A. Steklova, LXXXI, 1966

[3] Steve Armentrout, “On embedding decomposition spaces of $E^n$ in $E^{n+1}$”, Fundam. Math., LXI (1967), 1–20 | MR

[4] R. H. Bing, “Upper Semicontinuous decompositions of $E^3$”, Ann. Math., 65 (1957), 363–374 | DOI | MR | Zbl