Geodesic
The problem of cutting subspaces
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 455-476 
M. D. Kovalev. The problem of cutting subspaces. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 455-476. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a11/
@article{SM_1994_77_2_a11,
     author = {M. D. Kovalev},
     title = {The problem of cutting subspaces},
     journal = {Sbornik. Mathematics},
     pages = {455--476},
     year = {1994},
     volume = {77},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1994_77_2_a11/}
}
TY  - JOUR
AU  - M. D. Kovalev
TI  - The problem of cutting subspaces
JO  - Sbornik. Mathematics
PY  - 1994
SP  - 455
EP  - 476
VL  - 77
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1994_77_2_a11/
LA  - en
ID  - SM_1994_77_2_a11
ER  - 
%0 Journal Article
%A M. D. Kovalev
%T The problem of cutting subspaces
%J Sbornik. Mathematics
%D 1994
%P 455-476
%V 77
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1994_77_2_a11/
%G en
%F SM_1994_77_2_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper treats a natural and simply formulated problem in multidimensional geometry and linear algebra that has apparently escaped the attention of investigators. The author arrived at this problem in reflecting over a question posed by L. D. Ivanov. The greater attention is given to the geometric case of a real linear space. In this case the results are far from definitive, in contrast to the case of a linear space over the field of complex numbers.

[1] Manin Yu. I., “K pyatnadtsatoi probleme Gilberta”, Problemy Gilberta, Nauka, M., 1969 | MR

[2] Kleiman S. L., “Rigorous foundation of Shubert's enumerative calculus”, Proceedings of Symposia in pure mathematics, 28, Providence, 1976, 446–482 | MR

[3] Kovalev M. D., “Pokrytie mnogoobrazii Grassmana sharami”, Vsesoyuznoe soveschanie molodykh uchenykh po differentsialnoi geometrii, posvyaschennoe 80-letiyu N. V. Efimova, Tezisy dokladov, Rostov-na-Donu, 1990, 46 | MR

[4] Ivanov L. D., Variatsii mnozhestv i funktsii, Nauka, M., 1975 | MR

[5] Kurosh A. G., Kurs vysshei algebry, Nauka, M., 1975 | Zbl