Properties of some weak forms of continuity
As weak forms of continuity in topological spaces, weak continuity [1], quasi continuity [2], semi continuity [3] and almost continuity in the sense of Husain [4] are well-known. Recently, the following four weak forms of continuity have been introduced: weak quasi continuity [5], faint continuity [...
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171287000139 |
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| _version_ | 1832561933627162624 |
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| author | Takashi Noiri |
| author_facet | Takashi Noiri |
| author_sort | Takashi Noiri |
| collection | DOAJ |
| description | As weak forms of continuity in topological spaces, weak continuity [1], quasi continuity [2], semi continuity [3] and almost continuity in the sense of Husain [4] are well-known. Recently, the following four weak forms of continuity have been introduced: weak quasi continuity [5], faint continuity [6], subweak continuity [7] and almost weak continuity [8]. These four weak forms of continuity are all weaker than weak continuity. In this paper we show that these four forms of continuity are respectively independent and investigate many fundamental properties of these four
weak forms of continuity by comparing those of weak continuity, semi continuity and almost continuity. |
| format | Article |
| id | doaj-art-be869dbe585e4aa7a1e350da4fa6aceb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-be869dbe585e4aa7a1e350da4fa6aceb2025-02-03T01:23:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-011019711110.1155/S0161171287000139Properties of some weak forms of continuityTakashi Noiri0Department of Mathematics, Yatsushiro College of Technology, Yatsushiro, Kumamoto 866, JapanAs weak forms of continuity in topological spaces, weak continuity [1], quasi continuity [2], semi continuity [3] and almost continuity in the sense of Husain [4] are well-known. Recently, the following four weak forms of continuity have been introduced: weak quasi continuity [5], faint continuity [6], subweak continuity [7] and almost weak continuity [8]. These four weak forms of continuity are all weaker than weak continuity. In this paper we show that these four forms of continuity are respectively independent and investigate many fundamental properties of these four weak forms of continuity by comparing those of weak continuity, semi continuity and almost continuity.http://dx.doi.org/10.1155/S0161171287000139weakly continuoussemi continuousalmost continuousweakly quasi continuousfaintly continuoussubweakly continuousalmost weakly continuous. |
| spellingShingle | Takashi Noiri Properties of some weak forms of continuity International Journal of Mathematics and Mathematical Sciences weakly continuous semi continuous almost continuous weakly quasi continuous faintly continuous subweakly continuous almost weakly continuous. |
| title | Properties of some weak forms of continuity |
| title_full | Properties of some weak forms of continuity |
| title_fullStr | Properties of some weak forms of continuity |
| title_full_unstemmed | Properties of some weak forms of continuity |
| title_short | Properties of some weak forms of continuity |
| title_sort | properties of some weak forms of continuity |
| topic | weakly continuous semi continuous almost continuous weakly quasi continuous faintly continuous subweakly continuous almost weakly continuous. |
| url | http://dx.doi.org/10.1155/S0161171287000139 |
| work_keys_str_mv | AT takashinoiri propertiesofsomeweakformsofcontinuity |