Points of local nonconvexity and sets which are almost starshaped |
| |
Authors: | Marilyn Breen |
| |
Institution: | (1) Department of Mathematics, University of Oklahoma, 73019 Norman, Oklahoma, USA |
| |
Abstract: | Let S ø be a bounded connected set in R
2, and assume that every 3 or fewer lnc points of S are clearly visible from a common point of S. Then for some point p in S, the set A {s : s in S and p, s] S} is nowhere dense in S. Furthermore, when S is open, then S in starshaped. |
| |
Keywords: | Primary 52 A30 52 A35 secondary 52 A10 |
本文献已被 SpringerLink 等数据库收录! |
|