Characterization of the algebraic difference of special affine Cantor sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00601754" target="_blank" >RIV/67985840:_____/24:00601754 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.12775/TMNA.2023.057" target="_blank" >https://doi.org/10.12775/TMNA.2023.057</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12775/TMNA.2023.057" target="_blank" >10.12775/TMNA.2023.057</a>

Result language
angličtina
Original language name
Characterization of the algebraic difference of special affine Cantor sets
Original language description
We investigate some self-similar Cantor sets C(l, r, p), which we call S-Cantor sets, generated by numbers l, r, p ∈ N, l + r < p. We give a full characterization of the set C(l1, r1, p) − C(l2, r2, p) which can take one of the form: the interval [−1, 1], a Cantor set, an L-Cantorval, an R-Cantorval or an M-Cantorval. As corollaries we give examples of Cantor sets and Cantorvals, which can be easily described using some positional numeral systems.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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