Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618571 | Journal of Mathematical Analysis and Applications | 2011 | 6 Pages |
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.
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