Title of article
The possible number of islands on the sea
Author/Authors
Pach، نويسنده , , Péter Pلl and Pluhلr، نويسنده , , Gabriella and Pongrلcz، نويسنده , , Andrلs and Szabَ، نويسنده , , Csaba، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
6
From page
8
To page
13
Abstract
Let a height function f be a real valued function on R 2 . A connected subset of R 2 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.
Keywords
Maximal island system , Continuum , Countable
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561491
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