arXiv 1306.01672013-06math.CA

对“高木函数的水平集有多大？"

Correction and strengthening of "How large are the level sets of the Takagi function?"

Pieter C. Allaart

备注：: 6 pages, correction of arXiv:1102.1616. A small mistake in the proof of Theorem 8 was corrected
发表信息：: Monatsh. Math. 175, no. 2, 313-318 (2014)

摘要：

本文的目的是纠正作者在早期论文中关于高木函数水平集的一个错误[Monatsh. Math.167（2012），311-331和arXiv：1102.1616]，并且证明了该论文关于包含不可数多个局部水平集的水平集的倾向的主要结果之一的更强形式。

英文摘要：

The purpose of this note is to correct an error in an earlier paper by the author about the level sets of the Takagi function [Monatsh. Math. 167 (2012), 311-331 and arXiv:1102.1616], and to prove a stronger form of one of the main results of that paper about the propensity of level sets containing uncountably many local level sets.

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。