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Abstract

The orientability properties of space-times are analysed in detail using elementary algebraic methods. Time, space and charge orientability are discussed and various possible generalisations of charge orientability suggested. There is also a bundle-theoretic analysis of the first two topological properties together with a discussion of spinor-structures from the point of view of the Lorentz bundle of bases over a space-time. A section is devoted to some comments on the topologisation of certain space-times with topologies derived from their causal relations.

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References

  • Aharanov, Y. and Susskind, L. (1967).Physical Review,159, 1237.

    Google Scholar 

  • Borel, A. and Hirzebruch, F. (1959).American Journal of Mathematics,81, 315.

    Google Scholar 

  • Bott, R. and Mather, J. (1968).Proceedings of the Battelle Rencontres in Mathematics and Physics, 1967, ed. De-Witt, B. and Wheeler, J. A. W. A. Benjamin.

  • Bräuer, H. J. (1971).International Journal of Theoretical Physics, Vol. 4, No. 4, p. 243.

    Google Scholar 

  • Brickell, F. and Clarke, R. S. (1970).Differentiable Manifolds. Van-Nostrand Reinhold.

  • Eilenberg, S. (1963). Algebraic Topology.Lectures in Modern Mathematics, ed. Saaty, T. L. John Wiley and Sons.

  • Eilenberg, S. and Maclane, S. (1947).Annals. of Mathematics,48(2).

  • Geroch, R. (1968).Journal of Mathematical Physics,9(11), 1739.

    Google Scholar 

  • Geroch, R. (1969). Space-Time Structure from a Global Viewpoint.Proceedings of the Enrico-Fermi Summer School. Academic Press.

  • Goldstein, R. Z. and Lininger, L. (1970).Proceedings of the 1969 Georgia Topology Institute, eds. Cantrell, and Edwards. Markham.

  • Greenberg, M. J. (1967).Lectures on Algebraic Topology. W. A. Benjamin.

  • Hicks, N. (1964).Notes on Differential Geometry. Van-Nostrand.

  • Lichnerowicz, A. (1968). Topics on Space-Times.Proceedings of the Battelle Rencontres in Mathematics and Physics, 1967, ed. De-Witt, B. and Wheeler, J. A. W. A. Benjamin.

  • Markus, L. (1955).Annals of Mathematics,63(2), 411.

    Google Scholar 

  • Maunder, C. R. F. (1970).Algebraic Topology. Van-Nostrand Reinhold.

  • Michel, L. (1965). Relations Entre Symétries Intérnes et Invariance Relativiste.Proceedings of the Cargese summer school, 1965, ed. Lurçat, F. Gordon and Breach.

  • Milnor, J. (1963).L'Ensiegnement Mathématique,9, 198.

    Google Scholar 

  • Penrose, R. (1964). A Conformal Treatment of Infinity.Relativity, Groups and Topology, ed. De-Witt, B. Gordon and Breach.

  • Penrose, R. (1968). The Structure of Space-Time.Proceedings of the Battelle Rencontres in Mathematics and Physics, 1967, ed. De-Witt, B. and Wheeler, J. A. W. A. Benjamin.

  • Porteous, I. R. (1969).Topological Geometry. Van-Nostrand Reinhold.

  • Scott, W. (1964).Group Theory. Prentice-Hall.

  • Spanier, E. (1966).Algebraic Topology. McGraw-Hill, New York.

    Google Scholar 

  • Steen, L. A. and Seebach, J. A. Jnr. (1970).Counterexamples in Topology. Holt, Rinehart and Winston, New York.

    Google Scholar 

  • Whiston, G. S. (1972).International Journal of Theoretical Physics, Vol. 6, No. 1, pp. 75–76.

    Google Scholar 

  • Zeeman, E. C. (1964).Journal of Mathematical Physics,5(4), 460.

    Google Scholar 

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Whiston, G.S. Topics on space-time topology. Int J Theor Phys 8, 99–121 (1973). https://doi.org/10.1007/BF00678611

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