On Completeness of Sliced Spaces under the Alexandrov Topology

Nazli Kurt and Kyriakos Papadopoulos
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Nazli Kurt: Faculty of Science, Open University, P.O. Box 197, Milton Keynes MK7 6BJ, UK
Kyriakos Papadopoulos: Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

Mathematics, 2020, vol. 8, issue 1, 1-4

Abstract: 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.

Keywords: sliced space; Alexandrov interval topology; global hyperbolicity; slice completeness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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