Geodesic
The Lindelöf number greater than continuum is u-invariant
Serdica Mathematical Journal, Tome 37 (2011) no. 2, pp. 143-162

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Two Tychonoff spaces X and Y are said to be l-equivalent (u-equivalent) if Cp(X) and Cp(Y) are linearly (uniformly) homeomorphic. N. V. Velichko proved that countable Lindelöf number is preserved by the relation of l-equivalence. A. Bouziad strengthened this result and proved that any Lindelöf number is preserved by the relation of l-equivalence. In this paper it has been proved that the Lindelöf number greater than continuum is preserved by the relation of u-equivalence.
Keywords: Function Spaces, u-equivalence, u-invariant, Lindelöf Number, Set-Valued Mappings 
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Arbit, A. V. The Lindelöf number greater than continuum is u-invariant. Serdica Mathematical Journal, Tome 37 (2011) no. 2, pp. 143-162. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_2_a3/