A generalized manifold topology for branching space-times
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The logical theory of branching space-times, which provides a relativistic framework for studying objective indeterminism, remains mostly disconnected from discussions of space-time theories in philosophy of physics. Earman has criticized the branching ap- proach and suggested ``pruning some branches from branching space-time.'' This article identifies the different---order-theoretic versus topological---perspective of both discussions as a reason for certain misunderstandings and tries to remove them. Most important, we give a novel, topological criterion of modal consistency that usefully generalizes an earlier criterion, and we introduce a differential-geometrical version of branching space-times as a non-Hausdorff (generalized) manifold.
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MÜLLER, Thomas, 2013. A generalized manifold topology for branching space-times. In: Philosophy of Science. 2013, 80(5), pp. 1089-1100. ISSN 0031-8248. eISSN 1539-767X. Available under: doi: 10.1086/673895BibTex
@article{Muller2013gener-26802, year={2013}, doi={10.1086/673895}, title={A generalized manifold topology for branching space-times}, number={5}, volume={80}, issn={0031-8248}, journal={Philosophy of Science}, pages={1089--1100}, author={Müller, Thomas} }
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