Between a stone and a Hausdorff space

Wu, Jingyi ORCID: 0000-0001-7198-851X and Weatherall, James Owen (2023) Between a stone and a Hausdorff space. British Journal for the Philosophy of Science. ISSN 0007-0882 (In Press)

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Abstract

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.

Item Type:	Article
Official URL:	https://www.journals.uchicago.edu/toc/bjps/current
Additional Information:	© 2023 University of Chicago Press
Divisions:	Philosophy, Logic and Scientific Method
Subjects:	B Philosophy. Psychology. Religion > B Philosophy (General) Q Science
Date Deposited:	15 Nov 2023 10:42
Last Modified:	23 Oct 2024 14:36
URI:	http://eprints.lse.ac.uk/id/eprint/120749

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