A note on some applications of α-open sets
The object of this note is to introduce and study topological properties of α-derived, α-border, α-frontier, and α-exterior of a set using the concept of α-open sets. Moreover, we study some further properties of the well-known notions of α-closure and α-interior. We also obtain a new decomposition...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203203161 |
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| _version_ | 1832558363532066816 |
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| author | Miguel Caldas |
| author_facet | Miguel Caldas |
| author_sort | Miguel Caldas |
| collection | DOAJ |
| description | The object of this note is to introduce and study topological
properties of α-derived, α-border, α-frontier, and α-exterior of a set using the concept of α-open sets. Moreover, we study some further properties of the well-known notions of α-closure and α-interior. We also obtain a new decomposition of
α-continuous functions. |
| format | Article |
| id | doaj-art-0cb68404da894f839ace7585e86b5dea |
| institution | Kabale University |
| 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-0cb68404da894f839ace7585e86b5dea2025-02-03T01:32:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003212513010.1155/S0161171203203161A note on some applications of α-open setsMiguel Caldas0Departamento de Matemática Aplicada, Universidade Federal Fluminense-IMUFF, Rua Mário Santos Braga s/n0, Niteroi CEP:24020-140, R.J., BrazilThe object of this note is to introduce and study topological properties of α-derived, α-border, α-frontier, and α-exterior of a set using the concept of α-open sets. Moreover, we study some further properties of the well-known notions of α-closure and α-interior. We also obtain a new decomposition of α-continuous functions.http://dx.doi.org/10.1155/S0161171203203161 |
| spellingShingle | Miguel Caldas A note on some applications of α-open sets International Journal of Mathematics and Mathematical Sciences |
| title | A note on some applications of α-open sets |
| title_full | A note on some applications of α-open sets |
| title_fullStr | A note on some applications of α-open sets |
| title_full_unstemmed | A note on some applications of α-open sets |
| title_short | A note on some applications of α-open sets |
| title_sort | note on some applications of α open sets |
| url | http://dx.doi.org/10.1155/S0161171203203161 |
| work_keys_str_mv | AT miguelcaldas anoteonsomeapplicationsofaopensets AT miguelcaldas noteonsomeapplicationsofaopensets |