### Abstract

The natural topology on the space of causal paths of a space-time depends on the topology chosen on the space-time itself. Here we consider the effect of using the path topology on space-time instead of the manifold topology, and its consequences for how properties of space-time are reflected in the structure of the space of causal paths.

Publisher Statement: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

The following article appeared in Low, RJ 2016, 'Spaces of paths and the path topology' Journal of Mathematical Physics, vol 57, 092503 and may be found at https://dx.doi.org/10.1063/1.4963144

Publisher Statement: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

The following article appeared in Low, RJ 2016, 'Spaces of paths and the path topology' Journal of Mathematical Physics, vol 57, 092503 and may be found at https://dx.doi.org/10.1063/1.4963144

Original language | English |
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Article number | 092503 |

Journal | Journal of Mathematical Physics |

Volume | 57 |

DOIs | |

Publication status | Published - 22 Sep 2016 |

### Bibliographical note

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.The following article appeared in Low, RJ 2016, 'Spaces of paths and the path topology' Journal of Mathematical Physics, vol 57, 092503 and may be found at https://dx.doi.org/10.1063/1.4963144

### Keywords

- Spacetime topology
- Differential topology
- Geodesy
- Manifolds
- Causal structure