Geodesic
On a~linear homeomorphism of spaces of continuous functions on subsets of the Sorgenfrey line
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 29-32

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In this paper, it is proved that the spaces $C_p(I)$ and $C_p(\mathcal E)$ are linearly homeomorphic. Here, the interval $I=[0,1]$ and a Cantor set $\mathcal E$ are equipped with the Sorgenfrey topology.
Keywords: Sorgenfrey topology, spaces of continuous functions, linear homeomorphism, complemented subspace. 
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     author = {N. N. Trofimenko and T. E. Khmyleva},
     title = {On a~linear homeomorphism of spaces of continuous functions on subsets of the {Sorgenfrey} line},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {29--32},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/VTGU_2012_2_a3/}
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N. N. Trofimenko; T. E. Khmyleva. On a~linear homeomorphism of spaces of continuous functions on subsets of the Sorgenfrey line. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 29-32. http://geodesic.mathdoc.fr/item/VTGU_2012_2_a3/