Imbedding of one continuous decomposition of Euclidean $E^n$-space into another
Sbornik. Mathematics, Tome 12 (1970) no. 4, pp. 543-551
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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.
@article{SM_1970_12_4_a4,
author = {Van Ni Kyong},
title = {Imbedding of one continuous decomposition of {Euclidean} $E^n$-space into another},
journal = {Sbornik. Mathematics},
pages = {543--551},
publisher = {mathdoc},
volume = {12},
number = {4},
year = {1970},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1970_12_4_a4/}
}
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/