Spacetime topology from causality
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We prove that a globally hyperbolic spacetime with its causality relation is a bicontinuous poset whose interval topology is the manifold topology. This provides an abstract mathematical setting in which one can study causality independent of geometry and differentiable structure.
Keywords
Cite
@article{arxiv.gr-qc/0407093,
title = {Spacetime topology from causality},
author = {Keye Martin and Prakash Panangaden},
journal= {arXiv preprint arXiv:gr-qc/0407093},
year = {2007}
}
Comments
9 pages