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

Joanna Luc
Jagiellonian University
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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DOI 10.1086/706116
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Generalised Manifolds as Basic Objects of General Relativity.Joanna Luc - 2020 - Foundations of Physics 50 (6):621-643.

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