Sur un exemple de Banach et Kuratowski
Cauty, Robert
Fundamenta Mathematicae, Tome 144 (1994), p. 195-207 / Harvested from The Polish Digital Mathematics Library
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For A ⊂ I = [0,1], let LA be the set of continuous real-valued functions on I which vanish on a neighborhood of A. We prove that if A is an analytic subset which is not an Fσ and whose closure has an empty interior, then LA is homeomorphic to the space of differentiable functions from I into ℝ.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:212024 
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     year = {1994},
     pages = {195-207},
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Cauty, Robert. Sur un exemple de Banach et Kuratowski. Fundamenta Mathematicae, Tome 144 (1994) pp. 195-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv144i3p195bwm/

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