Barany, I;
Laczkovich, M;
(2017)
Magic Mirrors, Dense Diameters, Baire Category.
Journal of Convex Analysis
, 24
(1)
pp. 93-102.
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Abstract
Abstract. An old result of Zamfirescu says that for most convex curves C in the plane most points in R 2 lie on infinitely many normals to C, where most is meant in Baire category sense. We strengthen this result by showing that ‘infinitely many’ can be replaced by ‘continuum many’ in the statement. We present further theorems in the same spirit.
| Type: | Article |
|---|---|
| Title: | Magic Mirrors, Dense Diameters, Baire Category |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1424010 |
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