Sur un exemple de Banach et Kuratowski
Volume 144 / 1994
Fundamenta Mathematicae 144 (1994), 195-207
DOI: 10.4064/fm-144-3-195-207
Abstract
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.
