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Between a Stone and a Hausdorff Space
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We consider the duality between General Relativity and the theory of Einstein algebras, in the extended setting where one permits non-Hausdorff manifolds. We show that the duality breaks down, and then go on to discuss a sense in which general relativity, formulated using non-Hausdorff manifolds, exhibits excess structure when compared to Einstein algebras. We discuss how these results bear on a class of algebraically-motivated deflationist views about spacetime ontology. We conclude with a conjecture concerning non-Hausdorff spacetimes with no bifurcate curves.
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Cited by 1 Pith paper
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Nontrivial constitutive laws and unified structures in constrained BF theory
Changing the gravitational constitutive law in BF theory does not force any change in the internal gauge-theory constitutive law, because no canonical map connects the two sectors.
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