Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces
This paper is devoted to the following question: how to characterize convex nowhere dense subsets of normed linear spaces in terms of porosity? The motivation for this study originates from papers of V. Olevskii and L. Zajíček, where it is shown that convex nowhere dense subsets of normed linear spa...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/243604 |
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doaj-2f314d67ebb549a899332d26f4c836032020-11-25T00:50:04ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/243604243604Porosity of Convex Nowhere Dense Subsets of Normed Linear SpacesFilip Strobin0Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, PolandThis paper is devoted to the following question: how to characterize convex nowhere dense subsets of normed linear spaces in terms of porosity? The motivation for this study originates from papers of V. Olevskii and L. Zajíček, where it is shown that convex nowhere dense subsets of normed linear spaces are porous in some strong senses.http://dx.doi.org/10.1155/2009/243604 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Filip Strobin |
| spellingShingle |
Filip Strobin Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces Abstract and Applied Analysis |
| author_facet |
Filip Strobin |
| author_sort |
Filip Strobin |
| title |
Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces |
| title_short |
Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces |
| title_full |
Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces |
| title_fullStr |
Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces |
| title_full_unstemmed |
Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces |
| title_sort |
porosity of convex nowhere dense subsets of normed linear spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2009-01-01 |
| description |
This paper is devoted to the following question: how to characterize convex nowhere dense subsets of normed linear spaces in terms of porosity? The motivation for this study originates from papers of V. Olevskii and L. Zajíček, where it is shown that convex nowhere dense subsets of normed linear spaces are porous in some strong senses. |
| url |
http://dx.doi.org/10.1155/2009/243604 |
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AT filipstrobin porosityofconvexnowheredensesubsetsofnormedlinearspaces |
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