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A metric topology for causally continuous completions

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Publication:1154695
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DOI10.1007/BF00765811zbMath0465.53042WikidataQ125888150 ScholiaQ125888150MaRDI QIDQ1154695

John K. Beem

Publication date: 1977

Published in: General Relativity and Gravitation (Search for Journal in Brave)


zbMATH Keywords

space-timeAlexandrov topologyconvergence of chronological pasts and futures


Mathematics Subject Classification ID

Complete metric spaces (54E50) Relativistic cosmology (83F05) Applications of global differential geometry to the sciences (53C80)


Related Items (7)

The c-completion of Lorentzian metric spaces ⋮ Functors in Lorentzian geometry: three variations on a theme ⋮ On the GKP and BS constructions of the c-boundary ⋮ Addendum to ‘Hausdorff closed limits and the c-boundary I: a new topology for the c-completion of spacetimes’ ⋮ Lorentzian Gromov-Hausdorff theory and finiteness results ⋮ Globally hyperbolic spacetimes: slicings, boundaries and counterexamples ⋮ Causally discontinuous space-times




Cites Work

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  • Causal boundaries for general relativistic space-times
  • Domain of Dependence
  • Ideal points in space-time
  • The Large Scale Structure of Space-Time




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