Interpreting Non-Hausdorff (Generalized) Manifolds in General Relativity

Philosophy of Science 87 (1):21-42 (2020)
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Abstract

The article investigates the relations between Hausdorff and non-Hausdorff manifolds as objects of general relativity. We show that every non-Hausdorff manifold can be seen as a result of gluing together some Hausdorff manifolds. In the light of this result, we investigate a modal interpretation of a non-Hausdorff differential manifold, according to which it represents a bundle of alternative space-times, all of which are compatible with a given initial data set.

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Author's Profile

Joanna Luc
Jagiellonian University

Citations of this work

Generalised Manifolds as Basic Objects of General Relativity.Joanna Luc - 2020 - Foundations of Physics 50 (6):621-643.
Determinism and General Relativity.Chris Smeenk & Christian Wüthrich - 2021 - Philosophy of Science 88 (4):638-664.

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References found in this work

Branching Space-Time.Nuel Belnap - 1992 - Synthese 92 (3):385 - 434.
Holes, Haecceitism and Two Conceptions of Determinism.Joseph Melia - 1999 - British Journal for the Philosophy of Science 50 (4):639--64.
New Work for Counterpart Theorists: Determinism.Gordon Belot - 1995 - British Journal for the Philosophy of Science 46 (2):185-195.
Generalised Manifolds as Basic Objects of General Relativity.Joanna Luc - 2020 - Foundations of Physics 50 (6):621-643.
Pluralism and Determinism.Thomas Sattig - 2014 - Journal of Philosophy 111 (3):135-150.

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