Geodesic
On polynomial homeomorphisms of spaces of continuous functions
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 28-32 
V. R. Lazarev. On polynomial homeomorphisms of spaces of continuous functions. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 28-32. http://geodesic.mathdoc.fr/item/VTGU_2007_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The notions of polynomial homeomorphism of spaces of continuous functions and of $p$-equivalence of topological spaces are introduced. It is shown, that $p$-equivalence preserves topological dimension inside the class of spaces with countable base.

[1] Arkhangelskii A.V., Topologicheskie prostranstva funktsii, Izd-vo MGU, M., 1989

[2] Lazarev V.R., “Odin primer vsyudu plotnogo mnozhestva mnogochlenov v $C_pC_p(X)$”, Mezhdunar. konf. po matematike i mekhanike, Izbr. dokl., Tomsk, 2003, 55–59

[3] Gulko S.P., “O ravnomernykh gomeomorfizmakh prostranstv nepreryvnykh funktsii”, Trudy Matem. inst. Steklova, 193, 1992, 82–88 | MR | Zbl