Causal measurability in chronological spaces
type: Item
instance of: scholarly article
title: Causal measurability in chronological spaces
zbMATH Open document ID: 0626.53044
DOI: 10.1007/BF00759145
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: Starting with past sets and future sets the author applies the standard construction from measure theory to establish a `causal measure' for full chronological spaces. If this chronological space is derived from a space-time structure, then causally measurable sets are Lebesgue measurable apart from a set of causal measure zero. If the space-time satisfies the strong causality condition, then the converse is true. This justifies the use of Lebesgue measure for space-times from the chronological point of view.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 83C99
Mathematics Subject Classification ID: 28C99
zbMATH DE Number: 4017819
zbMATH Keywords: causal measure
zbMATH Keywords: chronological spaces
zbMATH Keywords: strong causality
zbMATH Keywords: Lebesgue measure
author: László B. Szabados
reviewed by: Bernd Wegner
MaRDI profile type: Publication
cites work: The Large Scale Structure of Space-Time
cites work: General relativity in the large
cites work: Time-ordering and topology
cites work: Causal structure in space-time
cites work: Q4084319
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description: scientific article; zbMATH DE number 4017819