<div class="csl-bib-body">
<div class="csl-entry">Tasso, E. (2024, October 31). <i>Rectifiability of a class of integralgeometric measures and applications</i> [Presentation]. Seminari d’Anàlisi de Barcelona, Barcelona, Spain.</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/204296
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dc.description.abstract
In his textbook ”Geometric Measure Theory” Federer proposed the following problem: is the restriction of the m-dimensional Integralgeometric measure to a finite set a m-rectifiable measure? After a brief introduction to the problem, I will introduce a novel class of measures based upon the idea of slicing and having integralgeometric structure. The central result of this talk will follow, which is a sufficient condition for rectifiability in the previously introduced class. I will then focus on the solution to Federer’s problem and its application to a part of Vitushkin’s conjecture still not completely understood. Eventually, I will present a novel rectifiability criterion for Radon measures via slicing, reminiscent of White’s rectifiable slices theorem for flat chains.
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dc.language.iso
en
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dc.subject
Rectifiability
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dc.subject
Integral Geometric Measure
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dc.subject
Besicovitch-Federer Projection Theorem
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dc.subject
Flat Chains
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dc.title
Rectifiability of a class of integralgeometric measures and applications
