Interpreting Non-Hausdorff (Generalized) Manifolds in General Relativity.
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...
| Publicado en: | Philosophy of Science Vol. 87; no. 1; pp. 21 - 43 |
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| Autores principales: | , |
| Formato: | Artículo |
| Publicado: |
Cambridge University Press
Jan2020
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| Sumario: | 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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