Article ID Journal Published Year Pages File Type
4618571 Journal of Mathematical Analysis and Applications 2011 6 Pages PDF
Abstract

Let a height function f be a real valued function on R2. A connected subset of R2 is called an island, if there is a water level such that H is an island in the classical sense. We show that an island system is always laminar. Among others, in this paper we prove that the cardinality of a maximal laminar system is either countable or continuum.

Related Topics
Physical Sciences and Engineering Mathematics Analysis