An example pertaining to the failure of the Besicovitch-Federer structure theorem in Hilbert space
De Pauw, Thierry (Institut de Mathématiques de Jussieu (París))

Date:	2017
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Rectifiable set ; Purely unrectifiable set ; Hilbert space ; Negligible set
Published in:	Publicacions matemàtiques, Vol. 61 Núm. 1 (2017) , p. 153-173 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/316082
DOI: 10.5565/PUBLMAT_61117_06

21 p, 452.3 KB

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