Library Header Image
LSE Research Online LSE Library Services

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)

[img] Text (Between a stone and a Hausdorff space) - Accepted Version
Pending embargo until 1 January 2100.
Available under License Creative Commons Attribution Non-commercial.

Download (218kB) | Request a copy
Identification Number: 10.1086/728532


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:
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 Jun 2024 23:31

Actions (login required)

View Item View Item


Downloads per month over past year

View more statistics