On the Causal and Topological Structure of the 2-Dimensional Minkowski Space
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Universe |
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| Online Access: | http://www.mdpi.com/2218-1997/5/3/70 |
| _version_ | 1818008166393184256 |
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| author | Kyriakos Papadopoulos Nazli Kurt Basil K. Papadopoulos |
| author_facet | Kyriakos Papadopoulos Nazli Kurt Basil K. Papadopoulos |
| author_sort | Kyriakos Papadopoulos |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:25:38Z |
| format | Article |
| id | doaj.art-c5232292d9a343f3b05c3ab0748398bc |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-14T05:25:38Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-c5232292d9a343f3b05c3ab0748398bc2022-12-22T02:09:59ZengMDPI AGUniverse2218-19972019-03-01537010.3390/universe5030070universe5030070On the Causal and Topological Structure of the 2-Dimensional Minkowski SpaceKyriakos Papadopoulos0Nazli Kurt1Basil K. Papadopoulos2Department of Mathematics, Kuwait University, PO Box 5969, Safat 13060, KuwaiFaculty of Science, Open University, PO Box 297, Milton Keynes MK7 6BJ, UKDepartment of Civil Engineering, Democritus University of Thrace, 67 100 Xanthi, GreeceA 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.http://www.mdpi.com/2218-1997/5/3/70Minkowski spacecausal relationsinterval topologyAlexandrov topologyintersection topology |
| spellingShingle | Kyriakos Papadopoulos Nazli Kurt Basil K. Papadopoulos On the Causal and Topological Structure of the 2-Dimensional Minkowski Space Universe Minkowski space causal relations interval topology Alexandrov topology intersection topology |
| title | On the Causal and Topological Structure of the 2-Dimensional Minkowski Space |
| title_full | On the Causal and Topological Structure of the 2-Dimensional Minkowski Space |
| title_fullStr | On the Causal and Topological Structure of the 2-Dimensional Minkowski Space |
| title_full_unstemmed | On the Causal and Topological Structure of the 2-Dimensional Minkowski Space |
| title_short | On the Causal and Topological Structure of the 2-Dimensional Minkowski Space |
| title_sort | on the causal and topological structure of the 2 dimensional minkowski space |
| topic | Minkowski space causal relations interval topology Alexandrov topology intersection topology |
| url | http://www.mdpi.com/2218-1997/5/3/70 |
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