Strict convexity of sets in analytic terms

Journal of the Australian Mathematical Society

Leoni Dalla¹ 

[1] Telemachos Hatziafratis

关键词: primary 52A20;   

DOI  :  10.1017/S1446788700014634

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We compare the geometric concept of strict convexity of open subsets of Rn with the analytic concept of 2-strict convexity, which is based on the defining functions of the set, and we do this by introducing the class of 2N-strictly convex sets. We also describe an exhaustion process of convex sets by a sequence of 2-strictly convex sets.

【 授权许可】

Unknown