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Minkowski space with order topology is simply connected

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Abstract

Among the large number of topologies which have been suggested for Minkowski space, the order topology, i.e., the one generated by the positive cone at the origin and its translates, turns out to be most peculiar; yet it has some very pleasant properties. For example, it is pathwise connected and not arcwise connected and every loop based at a point is homotopic to the constant loop at that point; in other words, Minkowski space with the order topology is simply connected.

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References

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Authors and Affiliations

  1. Mathematics Department, Regional Engineering College, 769008, Rourkela, Orissa, India

    S. Nanda

  2. Mathematics Department, Rairangpur College, Orissa, India

    H. K. Panda

Authors
  1. S. Nanda
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  2. H. K. Panda
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Nanda, S., Panda, H.K. Minkowski space with order topology is simply connected. Int J Theor Phys 12, 393–399 (1975). https://doi.org/10.1007/BF01808166

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  • DOI: https://doi.org/10.1007/BF01808166

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