Mathematics, Volume 10, Issue 23
2022 December-1 - 235 articles
Cover Story: The most recent literature contains two theories: one on the construction of probability measures from fractal structures and another one on cumulative distribution functions on separable linearly ordered topological spaces. Indeed, it is possible to construct a probability measure from a pre-measure defined on a fractal structure on a space, but in order to define a cumulative distribution function, a compatible order is needed. In this paper, it is shown how to define such order and the relationship between the pre-measure and the cumulative distribution function with respect to that order. Hence, we can use both theories interchangeably in both topological contexts: when working with a fractal structure and the topological structures induced by it, and when considering a separable linearly ordered topological space. View this paper - Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
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