Geodesic
Dimension-increasing mappings
Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 697-705 Cet article a éte moissonné depuis la source Math-Net.Ru

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For closed dimension-increasing mappings of the paracompactum $X$ on $Y$, a lower bound is obtained for the dimension of sets of points in $Y$ whose inverse images contain at least $s$ different points. 
@article{MZM_1970_7_6_a5,
     author = {G. S. Skordev},
     title = {Dimension-increasing mappings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {697--705},
     year = {1970},
     volume = {7},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a5/}
}
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G. S. Skordev. Dimension-increasing mappings. Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 697-705. http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a5/