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Weak distinction and the optimal definition of causal continuity

E Minguzzi

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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 imply past (resp. future) distinction. Some new characterizations of weak distinction and reflectivity are given.


PACS

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C75 Space-time singularities, cosmic censorship, etc.

Subjects

Gravitation and cosmology

Dates

Issue 7 (7 April 2008)

Received 28 December 2007, in final form 19 February 2008

Published 18 March 2008



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