Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 193-204
Citer cet article
V. A. Koshcheev. The connectivity and approximative properties of sets in linear normed spaces. Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 193-204. http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a2/
@article{MZM_1975_17_2_a2,
author = {V. A. Koshcheev},
title = {The connectivity and approximative properties of sets in linear normed spaces},
journal = {Matemati\v{c}eskie zametki},
pages = {193--204},
year = {1975},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a2/}
}
TY - JOUR
AU - V. A. Koshcheev
TI - The connectivity and approximative properties of sets in linear normed spaces
JO - Matematičeskie zametki
PY - 1975
SP - 193
EP - 204
VL - 17
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a2/
LA - ru
ID - MZM_1975_17_2_a2
ER -
%0 Journal Article
%A V. A. Koshcheev
%T The connectivity and approximative properties of sets in linear normed spaces
%J Matematičeskie zametki
%D 1975
%P 193-204
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a2/
%G ru
%F MZM_1975_17_2_a2
The connectivity of suns is investigated. It is shown that a sun is connected in finite-dimensional space. A set $M$ in uniformly convex space $X$ is shown to be approximatively compact if and only if $M$ is $P$-compact and the metric projection of $X$ onto $M$ is upper semicontinuous.
