Some properties of maximal open sets
Some fundamental properties of maximal open sets are obtained, such as decomposition theorem for a maximal open set. Basic properties of intersections of maximal open sets are established, such as the law of radical closure.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203207262 |
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| _version_ | 1850217868278366208 |
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| author | Fumie Nakaoka Nobuyuki Oda |
| author_facet | Fumie Nakaoka Nobuyuki Oda |
| author_sort | Fumie Nakaoka |
| collection | DOAJ |
| description | Some fundamental properties of maximal open sets are obtained,
such as decomposition theorem for a maximal open set. Basic properties of intersections of maximal open sets are established, such as the law of radical closure. |
| format | Article |
| id | doaj-art-2fdaa8aaf50e42c1a8ff3a3070ae23c7 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2fdaa8aaf50e42c1a8ff3a3070ae23c72025-08-20T02:07:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003211331134010.1155/S0161171203207262Some properties of maximal open setsFumie Nakaoka0Nobuyuki Oda1Department of Applied Mathematics, Faculty of Sciences, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka 814-0180, JapanDepartment of Applied Mathematics, Faculty of Sciences, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka 814-0180, JapanSome fundamental properties of maximal open sets are obtained, such as decomposition theorem for a maximal open set. Basic properties of intersections of maximal open sets are established, such as the law of radical closure.http://dx.doi.org/10.1155/S0161171203207262 |
| spellingShingle | Fumie Nakaoka Nobuyuki Oda Some properties of maximal open sets International Journal of Mathematics and Mathematical Sciences |
| title | Some properties of maximal open sets |
| title_full | Some properties of maximal open sets |
| title_fullStr | Some properties of maximal open sets |
| title_full_unstemmed | Some properties of maximal open sets |
| title_short | Some properties of maximal open sets |
| title_sort | some properties of maximal open sets |
| url | http://dx.doi.org/10.1155/S0161171203207262 |
| work_keys_str_mv | AT fumienakaoka somepropertiesofmaximalopensets AT nobuyukioda somepropertiesofmaximalopensets |