Geodesic
Inductive and projective topologies. Sufficient sets and representing systems
Izvestiya. Mathematics , Tome 28 (1987) no. 3, pp. 529-554

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

Conditions are found for the equality of various topologies in inductive limits of spaces of functions defined on an arbitrary set. A new class of sufficient sets is introduced and its connection with classes studied previously is determined. The general dependence between weakly sufficient sets and absolutely representing systems is indicated. Bibliography: 32 titles. 
@article{IM2_1987_28_3_a4,
     author = {Yu. F. Korobeinik},
     title = {Inductive and projective topologies. {Sufficient} sets and representing systems},
     journal = {Izvestiya. Mathematics },
     pages = {529--554},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1987_28_3_a4/}
}
TY  - JOUR
AU  - Yu. F. Korobeinik
TI  - Inductive and projective topologies. Sufficient sets and representing systems
JO  - Izvestiya. Mathematics 
PY  - 1987
SP  - 529
EP  - 554
VL  - 28
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1987_28_3_a4/
LA  - en
ID  - IM2_1987_28_3_a4
ER  - 
%0 Journal Article
%A Yu. F. Korobeinik
%T Inductive and projective topologies. Sufficient sets and representing systems
%J Izvestiya. Mathematics 
%D 1987
%P 529-554
%V 28
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1987_28_3_a4/
%G en
%F IM2_1987_28_3_a4
Yu. F. Korobeinik. Inductive and projective topologies. Sufficient sets and representing systems. Izvestiya. Mathematics , Tome 28 (1987) no. 3, pp. 529-554. http://geodesic.mathdoc.fr/item/IM2_1987_28_3_a4/