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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Wiley
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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| _version_ | 1850216862527258624 |
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| author | Filip Strobin |
| author_facet | Filip Strobin |
| author_sort | Filip Strobin |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2f314d67ebb549a899332d26f4c83603 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2f314d67ebb549a899332d26f4c836032025-08-20T02:08:12ZengWileyAbstract 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 |
| spellingShingle | Filip Strobin Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces Abstract and Applied Analysis |
| title | 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_short | Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces |
| title_sort | porosity of convex nowhere dense subsets of normed linear spaces |
| url | http://dx.doi.org/10.1155/2009/243604 |
| work_keys_str_mv | AT filipstrobin porosityofconvexnowheredensesubsetsofnormedlinearspaces |