English

On Cantor-like sets and Cantor-Lebesgue singular functions

Classical Analysis and ODEs 2014-03-27 v1

Abstract

In this paper we discuss several variations and generalizations of the Cantor set and study some of their properties. Also for each of those generalizations a Cantor-like function can be constructed from the set. We will discuss briefly the possible construction of those functions.

Keywords

Cite

@article{arxiv.1403.6554,
  title  = {On Cantor-like sets and Cantor-Lebesgue singular functions},
  author = {Robert DiMartino and Wilfredo Urbina},
  journal= {arXiv preprint arXiv:1403.6554},
  year   = {2014}
}

Comments

16 pages, 7 figures

R2 v1 2026-06-22T03:34:33.500Z