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Weak distinction and the optimal definition of causal continuity

2007/12/31 by E. Minguzzi · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/7/075015

published as Class.Quant.Grav.25:075015,2008 · 9 pages, 2 figures. v2: improved and expanded version. v3: a few misprints have been corrected and a reference has been updated

openalex publication_date 2008/03/18 · arxiv created 2008/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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

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