Noncompact absolute extensors in dimension~$n$, $n$-soft mappings, and their applications
Izvestiya. Mathematics , Tome 28 (1987) no. 1, pp. 151-174

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

$R$-compact absolute extensors in dimension $n$ ($AE(n)$) and $n$-soft mappings are defined and studied. Spectral characterizations are obtained not only for $AE(n)$-spaces but also for $n$-soft mappings themselves; this is new even in the compact case. The technique developed is applied to the study of certain questions of functional analysis and the theory of nonmetrizable manifolds modeled on topological vector spaces. Bibliography: 27 titles.
@article{IM2_1987_28_1_a7,
     author = {A. Ch. Chigogidze},
     title = {Noncompact absolute extensors in dimension~$n$, $n$-soft mappings, and their applications},
     journal = {Izvestiya. Mathematics },
     pages = {151--174},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1987_28_1_a7/}
}
TY  - JOUR
AU  - A. Ch. Chigogidze
TI  - Noncompact absolute extensors in dimension~$n$, $n$-soft mappings, and their applications
JO  - Izvestiya. Mathematics 
PY  - 1987
SP  - 151
EP  - 174
VL  - 28
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1987_28_1_a7/
LA  - en
ID  - IM2_1987_28_1_a7
ER  - 
%0 Journal Article
%A A. Ch. Chigogidze
%T Noncompact absolute extensors in dimension~$n$, $n$-soft mappings, and their applications
%J Izvestiya. Mathematics 
%D 1987
%P 151-174
%V 28
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1987_28_1_a7/
%G en
%F IM2_1987_28_1_a7
A. Ch. Chigogidze. Noncompact absolute extensors in dimension~$n$, $n$-soft mappings, and their applications. Izvestiya. Mathematics , Tome 28 (1987) no. 1, pp. 151-174. http://geodesic.mathdoc.fr/item/IM2_1987_28_1_a7/