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2017 An example pertaining to the failure of the Besicovitch-Federer structure Theorem in Hilbert space
Thierry De Pauw
Publ. Mat. 61(1): 153-173 (2017). DOI: 10.5565/PUBLMAT_61117_06

Abstract

We give an example, in the infinite dimensional separable Hilbert space, of a purely unrectifiable Borel set with finite nonzero one dimensional Hausdorff measure, whose projection is nonnegligible in a set of directions which is not Aronszajn null.

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Thierry De Pauw. "An example pertaining to the failure of the Besicovitch-Federer structure Theorem in Hilbert space." Publ. Mat. 61 (1) 153 - 173, 2017. https://doi.org/10.5565/PUBLMAT_61117_06

Information

Received: 20 May 2014; Published: 2017
First available in Project Euclid: 22 December 2016

zbMATH: 1359.28004
MathSciNet: MR3590118
Digital Object Identifier: 10.5565/PUBLMAT_61117_06

Subjects:
Primary: 28A75 , 28A80 , 53C65

Keywords: Hilbert space , Negligible set , purely unrectifiable set , Rectifiable set

Rights: Copyright © 2017 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.61 • No. 1 • 2017
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