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arxiv: 1403.6554 · v1 · pith:RSQ7JTEOnew · submitted 2014-03-26 · 🧮 math.CA

On Cantor-like sets and Cantor-Lebesgue singular functions

classification 🧮 math.CA
keywords cantor-likediscussfunctionsgeneralizationsthosebrieflycantorcantor-lebesgue
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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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