2013
DOI: 10.1186/2193-1801-2-654
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Abstract: In the year (1879–1884), George Cantor coined few problems and consequences in the field of set theory. One of them was the Cantor ternary set as a classical example of fractals. In this paper, 5-adic Cantor one-fifth set as an example of fractal string have been introduced. Moreover, the applications of 5-adic Cantor one-fifth set in string theory have also been studied.Electronic supplementary materialThe online version of this article (doi:10.1186/2193-1801-2-654) contains supplementary material, which is a… Show more

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Cited by 6 publications
(5 citation statements)
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References 37 publications
(41 reference statements)
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“…We recover the 3-adic Cantor string in [21] when we choose p = 3. When p = 5, we recover the 5-adic Cantor string in [14] (building on [21]), which motivated our construction of the p-adic Cantor strings as well as of their archimedean counterparts in §4.2.…”
Section: P-adic Cantor Stringsmentioning
confidence: 92%
See 1 more Smart Citation
“…We recover the 3-adic Cantor string in [21] when we choose p = 3. When p = 5, we recover the 5-adic Cantor string in [14] (building on [21]), which motivated our construction of the p-adic Cantor strings as well as of their archimedean counterparts in §4.2.…”
Section: P-adic Cantor Stringsmentioning
confidence: 92%
“…Proof. Since we remove all the odd digits at every stage in the construction of the p-adic Cantor set C p , the elements of C p must consist only of even digits in their p-adic expansions; see [14,21].…”
Section: P-adic Cantor Stringsmentioning
confidence: 99%
“…In this section we consider another type of Cantor sets which was examined for example in [17], [22], [10]. We call them p-Cantor sets.…”
Section: The Algebraic Difference Of S-cantor Setsmentioning
confidence: 99%
“…In this section we consider another type of Cantor sets which was examined for example in [17], [22], [12]. We call them p-Cantor sets.…”
Section: The Algebraic Difference Of S-cantor Setsmentioning
confidence: 99%