Geodesic
On linear homeomorphisms of spaces of continuous functions on «long lines»
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2016), pp. 36-41

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In this paper, we prove that for the elementary regular ordinal and arbitrary ordinals $\alpha$, $\beta$, $\alpha<\beta\leqslant \tau$, the spaces of continuous functions $C_p(L_{\tau\cdot\alpha})$ and $C_p(L_{\tau\cdot\beta})$, defined on the "long lines" $L_{\tau\cdot\alpha}$ and $L_{\tau\cdot\beta}$, are not linearly homeomorphic.
Keywords: «long lines», linear homeomorphisms, dual space, ordinals, initial ordinal, regular ordinal, topology of pointwise convergence, compactness. 
N. N. Trofimenko. On linear homeomorphisms of spaces of continuous functions on «long lines». Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2016), pp. 36-41. http://geodesic.mathdoc.fr/item/VTGU_2016_1_a3/
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