Sur un exemple de Banach et Kuratowski
Fundamenta Mathematicae, Tome 144 (1994) no. 3, pp. 195-207.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For A ⊂ I = [0,1], let $L_A$ 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 $F_σ$ and whose closure has an empty interior, then $L_A$ is homeomorphic to the space of differentiable functions from I into ℝ.
DOI : 10.4064/fm-144-3-195-207

Robert Cauty 1

1
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Robert Cauty. Sur un exemple de Banach et Kuratowski. Fundamenta Mathematicae, Tome 144 (1994) no. 3, pp. 195-207. doi : 10.4064/fm-144-3-195-207. http://geodesic.mathdoc.fr/articles/10.4064/fm-144-3-195-207/

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