Too long shadow boundaries
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- by Tudor Zamfirescu PDF
- Proc. Amer. Math. Soc. 103 (1988), 587-590 Request permission
Abstract:
It is shown that, in the sense of Baire categories, most $d$-dimensional convex bodies have infinitely long shadow boundaries if the light comes along one of many $\left ( {d - 2} \right )$-dimensional subspaces. This reveals (once again!) a striking contrast between the categorical and the measure-theoretical points of view.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 587-590
- MSC: Primary 52A20; Secondary 54E52
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943088-6
- MathSciNet review: 943088