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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {On linear homeomorphisms of spaces of continuous functions on {\guillemotleft}long lines{\guillemotright}},
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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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