Geodesic
Projections of $k$-dimensional subsets of $\mathbf R^n$ onto $k$-dimensional planes
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 114-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some properties of projections of sets with non-vanishing Hausdorff $k$-measure onto $k$-planes are studied. It is stated that there is a wide class of $k$-planes in $\mathbf R^n$ such that a projection of a closed $k$-dimensional set onto any plane of that class has dimension equal to $k$. 
@article{JMAG_1998_5_1_a8,
     author = {M. A. Pankov},
     title = {Projections of $k$-dimensional subsets of $\mathbf R^n$ onto $k$-dimensional planes},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {114--124},
     year = {1998},
     volume = {5},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a8/}
}
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M. A. Pankov. Projections of $k$-dimensional subsets of $\mathbf R^n$ onto $k$-dimensional planes. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 114-124. http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a8/