Geodesic
Maps of the Sorgenfrey line
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 52-56
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Three theorems are presented concerning continuous maps of the Sorgenfrey line $S$ onto the real line $R$. The first theorem proves the existence of an open map, the second theorem establishes the nonexistence of an open countably-multiple map, and the third theorem states the impossibility of a weakly closed map.
Keywords: Sorgenfrey line, real line, open map, weakly closed map, $d$-map, $c$-to-1 map. 
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N. V. Velichko. Maps of the Sorgenfrey line. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 52-56. http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a4/

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[2] Velichko N. V., “O nepreryvnykh otobrazheniyakh topologicheskikh prostranstv”, Sib. mat. zhurn., 13:3 (1972), 541–557