Applications of pre-open sets
Using the concept of pre-open set, we introduce and study topological properties of pre-limit points, pre-derived sets, preinterior and pre-closure of a set, pre-interior points, pre-border, prefrontier and pre-exterior. The relations between pre-derived set (resp. pre-limit point, pre-interior (poi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2008-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1802 |
| _version_ | 1818564211655049216 |
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| author | Young Bae Jun Seong Woo Jeong Hyeon Jeong Lee Joon Woo Lee |
| author_facet | Young Bae Jun Seong Woo Jeong Hyeon Jeong Lee Joon Woo Lee |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | Using the concept of pre-open set, we introduce and study topological properties of pre-limit points, pre-derived sets, preinterior and pre-closure of a set, pre-interior points, pre-border, prefrontier and pre-exterior. The relations between pre-derived set (resp. pre-limit point, pre-interior (point), pre-border, pre-frontier, and preexterior) and α-derived set (resp. α-limit point, α-interior (point), α-border,
α-frontier, and α-exterior) are investigated. |
| first_indexed | 2024-12-14T01:26:12Z |
| format | Article |
| id | doaj.art-8ba8c185369f4a40a1c41dbad84388ae |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-14T01:26:12Z |
| publishDate | 2008-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-8ba8c185369f4a40a1c41dbad84388ae2022-12-21T23:22:10ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472008-10-019221322810.4995/agt.2008.18021460Applications of pre-open setsYoung Bae Jun0Seong Woo Jeong1Hyeon Jeong Lee2Joon Woo Lee3Gyeongsang National UniversityGyeongsang National UniversityGyeongsang National UniversityGyeongsang National UniversityUsing the concept of pre-open set, we introduce and study topological properties of pre-limit points, pre-derived sets, preinterior and pre-closure of a set, pre-interior points, pre-border, prefrontier and pre-exterior. The relations between pre-derived set (resp. pre-limit point, pre-interior (point), pre-border, pre-frontier, and preexterior) and α-derived set (resp. α-limit point, α-interior (point), α-border, α-frontier, and α-exterior) are investigated.http://polipapers.upv.es/index.php/AGT/article/view/1802Pre-limit pointPre-derived setPre-interiorPre-closurePre-interior pointsPre-borderPre-frontierPre-exterior |
| spellingShingle | Young Bae Jun Seong Woo Jeong Hyeon Jeong Lee Joon Woo Lee Applications of pre-open sets Applied General Topology Pre-limit point Pre-derived set Pre-interior Pre-closure Pre-interior points Pre-border Pre-frontier Pre-exterior |
| title | Applications of pre-open sets |
| title_full | Applications of pre-open sets |
| title_fullStr | Applications of pre-open sets |
| title_full_unstemmed | Applications of pre-open sets |
| title_short | Applications of pre-open sets |
| title_sort | applications of pre open sets |
| topic | Pre-limit point Pre-derived set Pre-interior Pre-closure Pre-interior points Pre-border Pre-frontier Pre-exterior |
| url | http://polipapers.upv.es/index.php/AGT/article/view/1802 |
| work_keys_str_mv | AT youngbaejun applicationsofpreopensets AT seongwoojeong applicationsofpreopensets AT hyeonjeonglee applicationsofpreopensets AT joonwoolee applicationsofpreopensets |