Minimal closed sets and maximal closed sets
Some properties of minimal closed sets and maximal closed sets are obtained, which are dual concepts of maximal open sets and minimal open sets, respectively. Common properties of minimal closed sets and minimal open sets are clarified; similarly, common properties of maximal closed sets and maximal...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/18647 |
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| _version_ | 1832556546202009600 |
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| author | Fumie Nakaoka Nobuyuki Oda |
| author_facet | Fumie Nakaoka Nobuyuki Oda |
| author_sort | Fumie Nakaoka |
| collection | DOAJ |
| description | Some properties of minimal closed sets and maximal closed sets are
obtained, which are dual concepts of maximal open sets and minimal open sets, respectively. Common properties of minimal closed sets and minimal open sets are
clarified; similarly, common properties of maximal closed sets and maximal
open sets are obtained. Moreover, interrelations of these four concepts are
studied. |
| format | Article |
| id | doaj-art-3f7684ca2ebd463eaa3162fdded1e46c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3f7684ca2ebd463eaa3162fdded1e46c2025-02-03T05:44:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/1864718647Minimal closed sets and maximal closed setsFumie Nakaoka0Nobuyuki Oda1Department of Applied Mathematics, Fukuoka University, Nanakuma Jonan-ku, Fukuoka 814-0180, JapanDepartment of Applied Mathematics, Fukuoka University, Nanakuma Jonan-ku, Fukuoka 814-0180, JapanSome properties of minimal closed sets and maximal closed sets are obtained, which are dual concepts of maximal open sets and minimal open sets, respectively. Common properties of minimal closed sets and minimal open sets are clarified; similarly, common properties of maximal closed sets and maximal open sets are obtained. Moreover, interrelations of these four concepts are studied.http://dx.doi.org/10.1155/IJMMS/2006/18647 |
| spellingShingle | Fumie Nakaoka Nobuyuki Oda Minimal closed sets and maximal closed sets International Journal of Mathematics and Mathematical Sciences |
| title | Minimal closed sets and maximal closed sets |
| title_full | Minimal closed sets and maximal closed sets |
| title_fullStr | Minimal closed sets and maximal closed sets |
| title_full_unstemmed | Minimal closed sets and maximal closed sets |
| title_short | Minimal closed sets and maximal closed sets |
| title_sort | minimal closed sets and maximal closed sets |
| url | http://dx.doi.org/10.1155/IJMMS/2006/18647 |
| work_keys_str_mv | AT fumienakaoka minimalclosedsetsandmaximalclosedsets AT nobuyukioda minimalclosedsetsandmaximalclosedsets |