Intersections of maximal ๐ฟ_{๐} sets
Arthur G. Sparks ยท Proceedings of the American Mathematical Society ยท 1970
0. Introduction. In a paper by Hare and Kenelly [2], it is shown that the intersection of the maximal starshaped subsets of a compact, simply-connected set in E2 is starshaped or empty. In this paper an investigation is made of the problem of describing the intersection of all maximal Ln subsets of a set. It will be shown that every set in Em has maximal Ln subsets. Furthermore, if S is a compact, simplyconnected set in E2, then the intersection of the maximal Ln subsets of S is an Ln set.