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Limits of differentiable functions |
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| Authors: | Udayan B Darji |
| Institution: | Department of Mathematics, University of Louisville, Louisville, Kentucky 40292 |
| Abstract: | Suppose that  is a sequence of differentiable functions defined on 0,1] which converges uniformly to some differentiable function  , and  converges pointwise to some function  . Let  . In this paper we characterize such sets  under various hypotheses. It follows from one of our characterizations that  can be the entire interval 0,1]. |
| Keywords: | $F_\sigma$ $G_{\delta\sigma}$ density topology approximate continuity nowhere measure dense |
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