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A-topology for Minkowski space

Published online by Cambridge University Press:  17 February 2009

Sribatsa Nanda
Sribatsa Nanda
Affiliation:
Mathematics Department, Regional Engineering College, Rourkela-8 (Orissa), India
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Abstract

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We consider in this paper a topology (which we call the A-topology) on Minkowski space, the four-dimensional space–time continuum of special relativity and derive its group of homeomorphisms. We define the A-topology to be the finest topology on Minkowski space with respect to which the induced topology on time-like and light-like lines is one-dimensional Euclidean and the induced topology on space-like hyperplanes is three- dimensional Euclidean. It is then shown that the group of homeomorphisms of this topology is precisely the one generated by the inhomogeneous Lorentz group and the dilatations.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 1 , April 1979 , pp. 53 - 64
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Nanda, S., Ph.D. Thesis, Queen's University at Kingston, Canada (1969).Google Scholar
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[3]Nanda, S., “Weaker versions of Zeeman's conjectures on topologies for Minkowski space”, J. Math. Phys. 13 (1972), 12–15.Google Scholar
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[5]Zeeman, E. C., “Topology for Minkowski space”, Topology 6 (1967), 161–171.CrossRefGoogle Scholar