Geodesic
Continuous maps between finite powers of Sorgenfrey line
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 85-94

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The Sorgenfrey line is the real line with topology whose base consists of all left half-open intervals. It is shown that for integers $m>1$ there is no continuous closed map of $m$th power of the Sorgenfrey line onto Sorgenfrey line, and that for integers $n>2$ there is no continuous quotient map of the square of the Sorgenfrey line onto the $n$th power of the Sorgenfrey line.
Keywords: Sorgenfrey line, finite powers of Sorgenfrey line, continuous map, closed map
Mots-clés : quotient map. 
@article{VUU_2011_3_a7,
     author = {M. A. Patrakeev},
     title = {Continuous maps between finite powers of {Sorgenfrey} line},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {85--94},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a7/}
}
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M. A. Patrakeev. Continuous maps between finite powers of Sorgenfrey line. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 85-94. http://geodesic.mathdoc.fr/item/VUU_2011_3_a7/