Title
On two conjectures of Franz Hering about convex surfaces
Abstract
In this paper we show that from the point of view of the Baire categories for most convex bodies no shadow boundary is included in a hyperplane. A related, more quantitative question is also considered. It receives in general a negative answer and in theC 2-case a positive one, but remains open in theC 1-case.
Year
DOI
Venue
1991
10.1007/BF02574683
Discrete & Computational Geometry
Keywords
Field
DocType
Convex Body,Tangent Direction,Discrete Comput Geom,Convex Surface,Hausdorff Measure
Topology,Combinatorics,Convex body,Convex hull,Convex set,Subderivative,Baire measure,Baire space,Baire category theorem,Convex analysis,Mathematics
Journal
Volume
Issue
ISSN
6
2
0179-5376
Citations 
PageRank 
References 
1
0.39
1
Authors
1
Name
Order
Citations
PageRank
Tudor Zamfirescu17716.85