The regular density on the plane

The regular density on the plane

In the note [1] the notion of the regular density point of the measurable subset of the real line was introduced. Then it was shown that the new definition is equivalent to the definition of O'Malley points, which has been examined in [2]. 
 In this note we demonstrate that the analogou...

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Main Author: Sebastian Lindner
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2011-03-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/105
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spelling doaj-ae90272fdad54faa8b6b05aea78f326a2020-11-24T21:06:18ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2011-03-011017987The regular density on the planeSebastian LindnerIn the note [1] the notion of the regular density point of the measurable subset of the real line was introduced. Then it was shown that the new definition is equivalent to the definition of O'Malley points, which has been examined in [2]. 
 In this note we demonstrate that the analogous definitions for measurable subsets of the plane are not equivalent.http://studmath.up.krakow.pl/index.php/studmath/article/view/105
collection DOAJ
language deu
format Article
sources DOAJ
author Sebastian Lindner
spellingShingle Sebastian Lindner
The regular density on the plane
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
author_facet Sebastian Lindner
author_sort Sebastian Lindner
title The regular density on the plane
title_short The regular density on the plane
title_full The regular density on the plane
title_fullStr The regular density on the plane
title_full_unstemmed The regular density on the plane
title_sort regular density on the plane
publisher Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
series Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
issn 2081-545X
publishDate 2011-03-01
description In the note [1] the notion of the regular density point of the measurable subset of the real line was introduced. Then it was shown that the new definition is equivalent to the definition of O'Malley points, which has been examined in [2]. 
 In this note we demonstrate that the analogous definitions for measurable subsets of the plane are not equivalent.
url http://studmath.up.krakow.pl/index.php/studmath/article/view/105
work_keys_str_mv AT sebastianlindner theregulardensityontheplane
AT sebastianlindner regulardensityontheplane
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