Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach

Recent studies have shown that it is possible to construct a probability measure from a fractal structure defined on a space. On the other hand, a theory on cumulative distribution functions from an order on a separable linearly ordered topological space has been developed. In this paper, we show ho...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Gálvez Rodríguez, José Fulgencio, Sánchez-Granero, Miguel Ángel
বিন্যাস: info:eu-repo/semantics/article
ভাষা:English
প্রকাশিত: 2022
বিষয়গুলি:
অনলাইন ব্যবহার করুন:http://hdl.handle.net/10835/14101
বিবরন
সংক্ষিপ্ত:Recent studies have shown that it is possible to construct a probability measure from a fractal structure defined on a space. On the other hand, a theory on cumulative distribution functions from an order on a separable linearly ordered topological space has been developed. In this paper, we show how to define a linear order on a space with a fractal structure, so that these two theories can be used interchangeably in both topological contexts.