Spaces of paths and the path topology

Robert J. Low

doi:10.1063/1.4963144

Spaces of paths and the path topology

Robert J. Low

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8 Citations (Scopus)

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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

Original language	English
Article number	092503
Journal	Journal of Mathematical Physics
Volume	57
DOIs	https://doi.org/10.1063/1.4963144
Publication status	Published - 22 Sept 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

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Spaces of paths and the path topology

Abstract

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