ON THE COMPOSITION OF DERIVATIVES

Andrew M. Bruckner; Krzysztof Chris Ciesielski

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ON THE COMPOSITION OF DERIVATIVES

机译：关于导数的组成

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We show that there exists a derivative f: [0,1] → [0,1] such that the graph of f o f is dense in [0,1]~2, so not a G_δ-set. In particular, f o f is everywhere discontinuous, so not of Baire class 1, and hence it is not a derivative.

机译：我们证明存在一个导数f：[0,1]→[0,1]，使得f o f的图在[0,1]〜2中密集，因此没有G_δ-set。特别地，f o f到处都是不连续的，因此不是Baire 1类，因此不是导数。

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来源
《Real analysis exchange》 |2018年第1期|235-238|共4页
作者
Andrew M. Bruckner; Krzysztof Chris Ciesielski;
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作者单位

Mathematics Department, University of California, Santa Barbara;

Department of Mathematics, West Virginia University, Morgantown, WV 26506-6310,Department of Radiology, MIPG, University of Pennsylvania, Philadelphia, PA 19104-6021;

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原文格式 PDF
正文语种 eng
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关键词
derivatives; composition; fixed point;

机译：导数;组成;不动点;

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ON THE COMPOSITION OF DERIVATIVES

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