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Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. It establishes an analogy between number fields and closed, orientable 3-manifolds.

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Questions about analogy between Spec Z and 3-manifolds

I think it's important to keep track of the fact that the analogy isn't between individual number fields and individual 3-manifolds; it's between the collection of all number fields and the collection …
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