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

Abstract

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.

arXiv comment6 pages, correction of arXiv:1102.1616. A small mistake in the proof of Theorem 8 was corrected