Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-18T11:03:35.862Z Has data issue: false hasContentIssue false
  • English
  • Français

The completion of a chronological space

Published online by Cambridge University Press:  24 October 2008

N. M. J. Woodhouse
N. M. J. Woodhouse
Affiliation:
Department of Mathematics, University of London, King's College
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of completing the mathematical structures abstracted from the time ordering of the events in the space-times of general relativity is motivated and solved. The new construction is compared with that of Geroch, Kronheimer and Penrose (5).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 3 , November 1974 , pp. 531 - 544
Copyright
Copyright © Cambridge Philosophical Society 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Penrose, R.Proc. Roy. Soc. Ser. A, 284 (1965), 159.Google Scholar
(2)Eardley, D. and Sachs, R. K.J. Mathematical Phys. 14 (1973), 209.CrossRefGoogle Scholar
(3)Geroch, R. P.J. Mathematical Phys. 9 (1968), 450.CrossRefGoogle Scholar
(4)Schmidt, B. G.G. R. G. 1 (1971), 269.Google Scholar
(5)Geroch, R. P., Kronheimer, E. H. and Penrose, R.Proc. Roy. Soc. Ser. A, 327 (1972), 545.Google Scholar
(6)Woodhouse, N. M. J. Thesis (London, 1973).Google Scholar
(7)Penrose, R. “Structure of Space-Time” in Battelle rencontres (Ed. DeWitt, C. M. and Wheeler, J. A., Benjamin, New York, 1968).Google Scholar
(8)Kronheinme, E. H. and Penrose, R.Proc. Cambridge Philos. Soc. 63 (1967), 481.CrossRefGoogle Scholar
(9)Alexandroff, A. D.Voprosy Filosophii 67 (1959).Google Scholar
(10)Penrose, R.Techniques of differential topology in relativity (Siam, Philadelphia, 1973).Google Scholar
(11)Seifert, H. J.G. R. G. 1 (1971), 247.Google Scholar
(12)Hawking, S. W.Proc. Roy. Soc. Ser. A, 308 (1968), 433.Google Scholar
(13)Hawking, S. W. and Penrose, R.Proc. Roy. Soc. Ser. A, 314 (1970), 529.Google Scholar