New 5-adic Cantor sets and fractal string

摘要

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 available to authorized users.