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...

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Publicado en:Philosophy of Science Vol. 87; no. 1; pp. 21 - 43
Autores principales: Luc, Joanna, Placek, Tomasz
Formato: Artículo
Publicado: Cambridge University Press Jan2020
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: Interpreting Non-Hausdorff (Generalized) Manifolds in General Relativity.
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          Luc, Joanna
          Placek, Tomasz
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        Manifolds (Mathematics)
        Spacetime
        General relativity (Physics)
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        subj:
          Manifolds (Mathematics)
          Spacetime
          General relativity (Physics)
      ab: 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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