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4 papers
On Completeness of the Alexandrov Topology on a Spacetime: remarks and some corrections
Kyriakos Papadopoulos, Nazli Kurt
We clarify and discuss a misunderstanding between uniform completeness and metric completeness, that has appeared in the literature in a study on the Alexandrov topology for a spac…
On sliced spaces: Global Hyperbolicity revisited
Kyriakos Papadopoulos, Nazli Kurt, Basil K. Papadopoulos
We give a topological condition for a generic sliced space to be globally hyperbolic, without any hypothesis on the lapse function, shift function and spatial metric.
Are four dimensions enough, a note on ambient cosmology
Kyriakos Papadopoulos, Nazli Kurt, Basil K. Papadopoulos
The group of homothetic symmetries in the conformal infinity (the -dimensional "ambient boundary") of a -dimensional spacetime restricts the choice of topology to a topology…
On the Causal and Topological Structure of the -Dimensional Minkowski Space
Kyriakos Papadopoulos, Nazli Kurt, Basil K. Papadopoulos
A list of all possible causal relations in the -dimensional Minkowski space is exhausted, based on the duality between timelike and spacelike in this particular case, and th…