保持勒贝格测度的Besicovich-Morse函数
A Besicovitch-Morse function preserving the Lebesgue measure
摘要：
本文继续在文献[2]的遍历论的框架下研究了哪些不可扩张映射可以出现。我们构造了一个保持勒贝格测度的Besicovitch Morse函数映射。我们还证明了Besicovitch函数集是保持勒贝格测度的连续函数集的第一类。
英文摘要：
We continue the investigation of which non-dierentiable maps can occur in the framework of ergodic theory started in [2]. We construct a Besicovitch-Morse function map which preserves the Lebesgue measure. We also show that the set of Besicovitch functions is of rst category in the set of continuous functions which preserve the Lebesgue measure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
