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arXiv · 2212.00063

A Variant of Probabilistic Topology

Yuli B. Rudyak
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Abstract

Here I discuss ideas that makes a synthesis of topology and probability theory. The idea is the following: given a set $X$, assign a number $p(A)\in [0,1]$ for any subset $A$ of $X$. We can interpret $p(A)$ as the probability of openness of $A$.

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Yuli B. Rudyak. 2022-11-15. A Variant of Probabilistic Topology. https://arxiv.org/abs/2212.00063

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