Weak distinction and the optimal definition of causal continuity
General Relativity and Quantum Cosmology
2008-11-26 v3
Abstract
Causal continuity is usually defined by imposing the conditions (i) distinction and (ii) reflectivity. It is proved here that a new causality property which stays between weak distinction and causality, called feeble distinction, can actually replace distinction in the definition of causal continuity. An intermediate proof shows that feeble distinction and future (past) reflectivity implies past (resp. future) distinction. Some new characterizations of weak distinction and reflectivity are given.
Cite
@article{arxiv.0712.0338,
title = {Weak distinction and the optimal definition of causal continuity},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:0712.0338},
year = {2008}
}
Comments
9 pages, 2 figures. v2: improved and expanded version. v3: a few misprints have been corrected and a reference has been updated