O pewnych własnościach zbioru Cantora

Józef Banaś; Monika Krajewska

doi:10.52934/wpz.2022.03

On some properties of the Cantor set

Authors

Józef Banaś The Bronislaw Markiewicz State Higher School of Technology and Economics in Jaroslaw https://orcid.org/0000-0002-2838-5569
Monika Krajewska The Bronislaw Markiewicz State Higher School of Technology and Economics in Jaroslaw https://orcid.org/0009-0008-0260-1113

DOI:

https://doi.org/10.52934/wpz.2022.03

Keywords:

Cantor set, Jordan measure, a set measurable in Jordan sense, bijection, equivalent sets, countable set, uncountable set, algebraic sum of sets

Abstract

The paper is devoted to present some properties of the set which is called the Cantor set. Tle Cantor set is very important in mathematics and plays a fundamental role in a lot of mathematical reasonings. On the other hand the Cantor set is an example of the socalled fractal, so it is a set that finds applications in economic sciences, according to recent studies. In the present paper we give such properties of the Cantor set which can be described in a simple way by geometric and algebraic language. Moreover, those properties are quite surpris-ing and they distingnish the Cantor set from other ones considered in mathematics.

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Published

2022-12-30

How to Cite

Banaś, J., & Krajewska, M. (2022). On some properties of the Cantor set. Contemporary Management Problems, 10(2(21), 35–47. https://doi.org/10.52934/wpz.2022.03

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Issue

Vol. 10 No. 2(21) (2022)

Section

Artykuły

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