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On Cantor-like sets and Cantor-Lebesgue singular functions

2014/03/26 by Robert DiMartino, DiMartino, Robert, Wilfredo Urbina +1
Mathematics · Physics and Astronomy · #26A03 #26A30 #Chaos control and synchronization #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1403.6554

openalex publication_date 2014/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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