Geodesic
Continuous Mappings of Sorgenfrey Line Onto Real Line
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 67-75

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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},
     publisher = {mathdoc},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2008_1_a8/}
}
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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/