On Discrete Limits of Sequences of Approximately Continuous Functions and tae-Continuous Functions |
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Authors: | Z Grande |
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Institution: | (1) Institute Of Mathematics, Bydgoszcz Academy, Plac Weyssenhoffa 11, 85-072 Bydgoszcz, Poland |
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Abstract: | We show that the classes of all discrete limits of sequences of ap- proximately continuous functions, of all discrete limits of sequences of derivatives and of all discrete limits of sequences of Baire 1 functions are the same. We describe also the discrete limits of sequences of quasicontinuous functions, and of sequences of almost everywhere continuous functions, and we present anec- essary condition which must be satisfied by the discrete limits of sequences of Tae -continuous functions. |
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