Between a Stone and a Hausdorff Space

Datos Bibliográficos

ID8399353
AutoresJingyi Wu (0000-0002-3519-3952, autor de correspondencia), James Owen Weatherall (0000-0003-1461-7821), James Weatherall
Año2023
Fecha de publicación2023-11-29
Peer ReviewedSí
Open AccessNo
TipoARTICLE
RevistaThe British Journal for the Philosophy of Science (JOURNAL)
Identificadores de la revistaISSN: 0007-0882 • E-ISSN: 1464-3537
EditorialUniversity of Chicago Press (PUBLISHER • US)
DOI10.1086/728532
OpenAlexW4390066063
IdiomaEN
Referencias citadas23

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

Combinatorics · Hausdorff space · Sociology · Mathematics · Philosophy and History of Science · Philosophy and Theoretical Science · Quantum Mechanics and Applications