An example pertaining to the failure of the Besicovitch-Federer structure theorem in Hilbert space

• Autores: Thierry De Pauw
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 61, Nº 1, 2017, págs. 153-173
• Idioma: inglés
• DOI: 10.5565/10.5565_PUBLMAT 61117 06
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• Resumen

  • We give an example, in the innite dimensional separable Hilbert space, of a purely unrectiable Borel set with nite nonzero one dimensional Hausdor measure, whose projection is nonnegligible in a set of directions which is not Aronszajn null.