Radial projections of rectifiable sets

Tuomas Orponen; Tuomas Sahlsten

doi:10.5186/aasfm.2011.3634

Radial projections of rectifiable sets

Tuomas Orponen
, Tuomas Sahlsten

Research output: Contribution to journal › Article › peer-review

Abstract

We show that if no m-plane contains almost all of an m-rectifiable set E C Rn, then
there exists a single (m-1)-plane V such that the radial projection of E has positive m-dimensional measure from every point outside V .

Original language	English
Pages (from-to)	677-681
Number of pages	4
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	36
Issue number	2
DOIs	https://doi.org/10.5186/aasfm.2011.3634
Publication status	Published - 2011

Keywords

Rectifiability
projections
Hausdorff measures

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10.5186/aasfm.2011.3634

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title = "Radial projections of rectifiable sets",

abstract = "We show that if no m-plane contains almost all of an m-rectifiable set E C Rn, then there exists a single (m-1)-plane V such that the radial projection of E has positive m-dimensional measure from every point outside V .",

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KW - Rectifiability

KW - projections

KW - Hausdorff measures

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JO - Annales Academiae Scientiarum Fennicae Mathematica

JF - Annales Academiae Scientiarum Fennicae Mathematica

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Radial projections of rectifiable sets

Abstract

Keywords

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