On the topology of stable causality
type: Item
instance of: scholarly article
title: On the topology of stable causality
zbMATH Open document ID: 0677.53073
DOI: 10.1007/BF00756183
author: E. Aguirre-Dabán
author: M. D. Gutiérrez-López
published in: General Relativity and Gravitation
publication date: 1989-01-01T00:00:00Z
review text: According to the authors a subset A of a space-time is called C-convex iff every causal curve between points of A lies entirely in A. Similarly the notion of stable C-convexity is introduced. They characterize the property of a space-time to be (locally or globally) strongly causal or stably causal in terms of these sets. Furthermore the topologies generated by C-convex resp. stably C-convex sets are shown to be \(T^ 1\) iff they are discrete.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 4109577
zbMATH Keywords: causality conditions
zbMATH Keywords: strongly causal
zbMATH Keywords: stably causal
zbMATH Keywords: C-convex sets
reviewed by: Bernd Wegner
MaRDI profile type: Publication
cites work: Q4084319
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description: scientific article; zbMATH DE number 4109577