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

被引：3
作者：
Papadopoulos, Kyriakos [1 ]
Kurt, Nazli [2 ]
Papadopoulos, Basil K. [3 ]
机构：
[1] Kuwait Univ, Dept Math, POB 5969, Safat 13060, Kuwait
[2] Open Univ, Fac Sci, POB 297, Milton Keynes MK7 6BJ, Bucks, England
[3] Democritus Univ Thrace, Dept Civil Engn, Xanthi 67100, Greece
来源：
UNIVERSE | 2019年 / 5卷 / 03期
关键词：
Minkowski space; causal relations; interval topology; Alexandrov topology; intersection topology;
D O I：
10.3390/universe5030070
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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.
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页数：8
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