Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 114-124
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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/
@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/}
}
TY - JOUR
AU - M. A. Pankov
TI - Projections of $k$-dimensional subsets of $\mathbf R^n$ onto $k$-dimensional planes
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1998
SP - 114
EP - 124
VL - 5
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a8/
LA - en
ID - JMAG_1998_5_1_a8
ER -
%0 Journal Article
%A M. A. Pankov
%T Projections of $k$-dimensional subsets of $\mathbf R^n$ onto $k$-dimensional planes
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1998
%P 114-124
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a8/
%G en
%F JMAG_1998_5_1_a8
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 $k$.
