Geodesic
The topologies of linear continuity
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 15-20

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

On the real plane the topologies of linear continuity are introduced, i.e. such topologies continuity of function with respect to them is equivalent to continuity of all restrictions of this function on the straight line at the plane. Regularity and normality of these topologies are investigated.
Keywords: linear continuity
Mots-clés : product topologies. 
@article{VTGU_2010_1_a1,
     author = {Ya. S. Grinshpon},
     title = {The topologies of linear continuity},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {15--20},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_1_a1/}
}
TY  - JOUR
AU  - Ya. S. Grinshpon
TI  - The topologies of linear continuity
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2010
SP  - 15
EP  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTGU_2010_1_a1/
LA  - ru
ID  - VTGU_2010_1_a1
ER  - 
%0 Journal Article
%A Ya. S. Grinshpon
%T The topologies of linear continuity
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2010
%P 15-20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTGU_2010_1_a1/
%G ru
%F VTGU_2010_1_a1
Ya. S. Grinshpon. The topologies of linear continuity. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 15-20. http://geodesic.mathdoc.fr/item/VTGU_2010_1_a1/