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Interpreting non-Hausdorff (generalized) manifolds in General Relativity

Luc, Joanna and Placek, Tomasz (2019) Interpreting non-Hausdorff (generalized) manifolds in General Relativity. [Preprint]

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Abstract

The paper 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
spacetimes, all of which are compatible with a given initial data
set.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Luc, Joannajoanna.luc.poczta@gmail.com0000-0003-2758-8230
Placek, Tomasztomasz.placek@uj.edu.pl
Keywords: non-Hausdorff manifolds, generalized manifolds
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Depositing User: Joanna Luc
Date Deposited: 03 Jul 2019 13:15
Last Modified: 03 Jul 2019 13:15
Item ID: 16172
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Date: June 2019
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/16172

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