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Le degré de Lindelöf est -invariant
Authors:Ahmed Bouziad
Institution:Département de Mathématiques, Université de Rouen, CNRS UPRES-A 6085, 76821 Mont Saint-Aignan, France
Abstract:Two Tychonoff spaces $X$ and $Y$ are said to be $l$-equivalent if $C_{p}(X)$ and $C_{p}(Y)$ are linearly homeomorphic. It is shown that if $X$ and $Y$ are $l$-equivalent, then the Lindelöf numbers of $X$ and $Y$ are the same. The proof given is a strengthening of the one given by N.V. Velichko to show that the Lindelöf property is $l$-invariant.

Keywords:Set-valued maps  Lindel\"{o}f degree  linear homeomorphism  function spaces
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