Measurable functions and almost continuous functions |
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Authors: | D H Fremlin |
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Institution: | (1) Mathematics Department, University of Essex, co4 3sq Colchester, England |
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Abstract: | I show that if (X, ) is a Radon measure space and Y is a metric space, then a function from X to Y is -measurable iff it is almost continuous (=Lusin measurable). I discuss other cases in which measurable functions are almost continuous.Part of the work of this paper was done during a visit to Japan supported by the United Kingdom Science Research Council and Hokkaido University |
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