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## Main Question or Discussion Point

Both point set topologies and sample spaces work with unions and intersections of their elements. Point set topologies have distance functions between points, and sample spaces have probability density function at each element. Are there any texts or studies that combine these two disciplines or describe some features of one in terms of the other? Thanks.

I'm wondering if quantum mechanics might be a sample space description and general relativity might be a topological description of the same space.

I'm wondering if quantum mechanics might be a sample space description and general relativity might be a topological description of the same space.