论文标题
概率拓扑的变体
A Variant of Probabilistic Topology
论文作者
论文摘要
在这里,我讨论了构成拓扑和概率理论的想法。这个想法如下:给定一个$ x $,为任何子集$ a $ a $ x $分配一个数字$ p(a)\ in [0,1] $。我们可以将$ p(a)$解释为$ a $的开放性的可能性。
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 $A$.