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On Discrete Limits of Sequences of Approximately Continuous Functions and tae-Continuous Functions

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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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  1. Institute Of Mathematics, Bydgoszcz Academy, Plac Weyssenhoffa 11, 85-072, Bydgoszcz, Poland

    Z. Grande

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  1. Z. Grande
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Grande, Z. On Discrete Limits of Sequences of Approximately Continuous Functions and tae-Continuous Functions. Acta Mathematica Hungarica 92, 39–50 (2001). https://doi.org/10.1023/A:1013747909952

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