Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 35 (1989), pp. 179-239
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A. A. Agrachev; R. V. Gamkrelidze. Quadratic mappings and smooth vector functions: Euler characteristics of level sets. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 35 (1989), pp. 179-239. http://geodesic.mathdoc.fr/item/INTD_1989_35_a3/
@article{INTD_1989_35_a3,
author = {A. A. Agrachev and R. V. Gamkrelidze},
title = {Quadratic mappings and smooth vector functions: {Euler} characteristics of level sets},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {179--239},
year = {1989},
volume = {35},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1989_35_a3/}
}
TY - JOUR
AU - A. A. Agrachev
AU - R. V. Gamkrelidze
TI - Quadratic mappings and smooth vector functions: Euler characteristics of level sets
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1989
SP - 179
EP - 239
VL - 35
UR - http://geodesic.mathdoc.fr/item/INTD_1989_35_a3/
LA - ru
ID - INTD_1989_35_a3
ER -
%0 Journal Article
%A A. A. Agrachev
%A R. V. Gamkrelidze
%T Quadratic mappings and smooth vector functions: Euler characteristics of level sets
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1989
%P 179-239
%V 35
%U http://geodesic.mathdoc.fr/item/INTD_1989_35_a3/
%G ru
%F INTD_1989_35_a3
Quadratic maps of $R^N$ into $R^K$ are studied. Explicit expressions are obtained for the Euler characteristics of level sets of such maps. The Euler characteristics of level sets of smooth vector-valued functions are also evaluated in terms of their values at critical points.
