Geodesic
Continuous Mappings of Sorgenfrey Line Onto Real Line
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 67-75 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We study different types of continuous mappings of Sorgenfrey line $\mathbf{S}$ (real line with topology, which base consists of all right half-opened intervals $[a,b)$) onto real line $\mathbf{R}$. We construct open continuous mapping of $\mathbf{S}$ onto $\mathbf{R}$. On the other hand we prove, that for any closed continuous mapping of $\mathbf{S}$ into $\mathbf{S}$ the image is countable.
Keywords: continuous mapping, open mapping, closed mapping, Sorgenfrey line, real line. 
@article{VTGU_2008_1_a8,
     author = {M. A. Patrakeev},
     title = {Continuous {Mappings} of {Sorgenfrey} {Line} {Onto} {Real} {Line}},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {67--75},
     year = {2008},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2008_1_a8/}
}
TY  - JOUR
AU  - M. A. Patrakeev
TI  - Continuous Mappings of Sorgenfrey Line Onto Real Line
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2008
SP  - 67
EP  - 75
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VTGU_2008_1_a8/
LA  - ru
ID  - VTGU_2008_1_a8
ER  - 
%0 Journal Article
%A M. A. Patrakeev
%T Continuous Mappings of Sorgenfrey Line Onto Real Line
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2008
%P 67-75
%N 1
%U http://geodesic.mathdoc.fr/item/VTGU_2008_1_a8/
%G ru
%F VTGU_2008_1_a8
M. A. Patrakeev. Continuous Mappings of Sorgenfrey Line Onto Real Line. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 67-75. http://geodesic.mathdoc.fr/item/VTGU_2008_1_a8/