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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |