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On the Causal and Topological Structure of the 2-Dimensional Minkowski Space

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Department of Mathematics, Kuwait University, PO Box 5969, Safat 13060, Kuwait
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Faculty of Science, Open University, PO Box 297, Milton Keynes MK7 6BJ, UK
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Department of Civil Engineering, Democritus University of Thrace, 67 100 Xanthi, Greece
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Author to whom correspondence should be addressed.
Universe 2019, 5(3), 70; https://doi.org/10.3390/universe5030070
Received: 17 December 2018 / Revised: 28 February 2019 / Accepted: 28 February 2019 / Published: 5 March 2019
A list of all possible causal relations in the two-dimensional Minkowski space M is exhausted, based on the duality between timelike and spacelike in this particular case, and thirty topologies are introduced, all of them encapsulating the causal structure of M. Generalisations of these results are discussed, as well as their significance in a discussion on spacetime singularities. View Full-Text
Keywords: Minkowski space; causal relations; interval topology; Alexandrov topology; intersection topology Minkowski space; causal relations; interval topology; Alexandrov topology; intersection topology
MDPI and ACS Style

Papadopoulos, K.; Kurt, N.; Papadopoulos, B.K. On the Causal and Topological Structure of the 2-Dimensional Minkowski Space. Universe 2019, 5, 70.

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