Geodesic
Spiral connectedness of the sections and projections of $\mathbb C$-convex sets
Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 359-369

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

The notion of structural dimension of $\mathbb C$-convex sets is introduced. The spiral connectedness of sections and projections of these sets, as well as of the complements of these sections and projections is established. Examples refining L. A. Aizenberg's well-known conjecture about the approximation of strongly linearly convex sets are presented. 
@article{MZM_1996_59_3_a4,
     author = {S. V. Znamenskii and L. N. Znamenskaya},
     title = {Spiral connectedness of the sections and projections of $\mathbb C$-convex sets},
     journal = {Matemati\v{c}eskie zametki},
     pages = {359--369},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a4/}
}
TY  - JOUR
AU  - S. V. Znamenskii
AU  - L. N. Znamenskaya
TI  - Spiral connectedness of the sections and projections of $\mathbb C$-convex sets
JO  - Matematičeskie zametki
PY  - 1996
SP  - 359
EP  - 369
VL  - 59
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a4/
LA  - ru
ID  - MZM_1996_59_3_a4
ER  - 
%0 Journal Article
%A S. V. Znamenskii
%A L. N. Znamenskaya
%T Spiral connectedness of the sections and projections of $\mathbb C$-convex sets
%J Matematičeskie zametki
%D 1996
%P 359-369
%V 59
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a4/
%G ru
%F MZM_1996_59_3_a4
S. V. Znamenskii; L. N. Znamenskaya. Spiral connectedness of the sections and projections of $\mathbb C$-convex sets. Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 359-369. http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a4/