On a weak form of weak quasi-continuity
A weak form of weak quasi-continuity, which we call subweak quasi-continuity, is introduced. It is shown that subweak quasi-continuity is strictly weaker than weak quasi-continuity. Subweak quasi-continuity is used to strengthen several results in the literature concerning weak quasi-continuity. Spe...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202109069 |
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| _version_ | 1850237615283896320 |
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| author | C. W. Baker |
| author_facet | C. W. Baker |
| author_sort | C. W. Baker |
| collection | DOAJ |
| description | A weak form of weak quasi-continuity, which we call subweak
quasi-continuity, is introduced. It is shown that subweak
quasi-continuity is strictly weaker than weak quasi-continuity. Subweak
quasi-continuity is used to strengthen several results in the
literature concerning weak quasi-continuity. Specifically, results
concerning the graph, graph function, and restriction of a weakly
quasi-continuous function are extended slightly. Also, a result
concerning weakly quasi-continuous retractions is strengthened. |
| format | Article |
| id | doaj-art-137ddc169e984a56ade18eda8eb685fd |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-137ddc169e984a56ade18eda8eb685fd2025-08-20T02:01:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131638138610.1155/S0161171202109069On a weak form of weak quasi-continuityC. W. Baker0Department of Mathematics, Indiana University Southeast, New Albany, IN 47150, USAA weak form of weak quasi-continuity, which we call subweak quasi-continuity, is introduced. It is shown that subweak quasi-continuity is strictly weaker than weak quasi-continuity. Subweak quasi-continuity is used to strengthen several results in the literature concerning weak quasi-continuity. Specifically, results concerning the graph, graph function, and restriction of a weakly quasi-continuous function are extended slightly. Also, a result concerning weakly quasi-continuous retractions is strengthened.http://dx.doi.org/10.1155/S0161171202109069 |
| spellingShingle | C. W. Baker On a weak form of weak quasi-continuity International Journal of Mathematics and Mathematical Sciences |
| title | On a weak form of weak quasi-continuity |
| title_full | On a weak form of weak quasi-continuity |
| title_fullStr | On a weak form of weak quasi-continuity |
| title_full_unstemmed | On a weak form of weak quasi-continuity |
| title_short | On a weak form of weak quasi-continuity |
| title_sort | on a weak form of weak quasi continuity |
| url | http://dx.doi.org/10.1155/S0161171202109069 |
| work_keys_str_mv | AT cwbaker onaweakformofweakquasicontinuity |