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Quasi-continuity with respect to semi-regularisation topology
Published online by Cambridge University Press: 17 April 2009
Abstract
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This paper gives some sufficient conditions under which upper, lower or both upper and lower quasi-continuity of multifunction in the process of semi-regularisation of a topological space are preserved. Analogous results for continuous maps are true.
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- Copyright © Australian Mathematical Society 1988
References
[4]Kempisty, S., ‘Sur les functions quasicontinues’, Fund. Math. 19 (1932), 184–197.CrossRefGoogle Scholar
[5]Levine, N., ‘Semi-open sets and semi-continuity in topological spaces’, Amer. Math. Monthly 70 (1963), 36–41.CrossRefGoogle Scholar
[6]Mrševič, M., Reilly, I.L. and Vamanamurthy, M.K., ‘On semi-regularization topologies’, J. Austral. Math. Soc. Ser. A 38 (1985), 40–54.Google Scholar
[7]Njåstad, O., ‘On some classes of nearly open sets’, Pacific J. Math. 15 (1965), 961–970.Google Scholar
[8]Oxtoby, J.C., Measure and category (Springer-Verlag, New York Heidelberg Berlin, 1971).CrossRefGoogle Scholar
[9]Popa, V., ‘Asupra unei descompuneri a cvasicontinuitati multifunctiilor’, Stud. Cerc. Mat. 27 (1975), 325–328.Google Scholar
[10]Popa, V., ‘Asupra unor proprietātii ale multifunctiilor cvasicontinue si aproape continue’, Stud. Cerc. Mat. 30 (1978), 441–446.Google Scholar
[11]Smithson, R.E., ‘Almost and weak continuity for multifunctions’, Bull. Calcutta Math. Soc. 70 (1978), 383–390.Google Scholar
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