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On Completeness of Sliced Spaces under the Alexandrov Topology

1
Faculty of Science, Open University, P.O. Box 197, Milton Keynes MK7 6BJ, UK
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Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 99; https://doi.org/10.3390/math8010099
Received: 1 December 2019 / Revised: 31 December 2019 / Accepted: 6 January 2020 / Published: 7 January 2020
(This article belongs to the Section Mathematical Physics)
We show that in a sliced spacetime ( V , g ) , global hyperbolicity in V is equivalent to T A -completeness of a slice, if and only if the product topology T P , on V, is equivalent to T A , where T A denotes the usual spacetime Alexandrov “interval” topology. View Full-Text
Keywords: sliced space; Alexandrov interval topology; global hyperbolicity; slice completeness sliced space; Alexandrov interval topology; global hyperbolicity; slice completeness
MDPI and ACS Style

Kurt, N.; Papadopoulos, K. On Completeness of Sliced Spaces under the Alexandrov Topology. Mathematics 2020, 8, 99.

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