### Abstract

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 |

### Fingerprint

### 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

### Cite this

**Spaces of paths and the path topology.** / Low, Robert J.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 57, 092503. https://doi.org/10.1063/1.4963144

}

TY - JOUR

T1 - Spaces of paths and the path topology

AU - Low, Robert J.

N1 - 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

PY - 2016/9/22

Y1 - 2016/9/22

N2 - 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

AB - 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

KW - Spacetime topology

KW - Differential topology

KW - Geodesy

KW - Manifolds

KW - Causal structure

U2 - 10.1063/1.4963144

DO - 10.1063/1.4963144

M3 - Article

VL - 57

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

M1 - 092503

ER -