Geodesic
Pseudotrees and equivalent norms in the continuous. Functions spaces
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 5-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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A class of the pseudotrees is considered. We construct locally compact extension of a pseudotree, which also has the structure of a pseudotree. We prove that the space $C_0(T)$ of all continuous functions on a locally compact pseudotree $T$ admits a locally uniform rotund (LUR) renorming if the related space $C_0(P)$ admits such norm for every subtree $P$ of $T$ and an initial segments of $T$ are separable. 
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     title = {Pseudotrees and equivalent norms in the continuous. {Functions} spaces},
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S. P. Gul'ko; M. S. Kobylina. Pseudotrees and equivalent norms in the continuous. Functions spaces. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 5-11. http://geodesic.mathdoc.fr/item/VTGU_2007_1_a0/

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