27 citations · 114 across the 28 of their papers we have counts for
7 papers · 1 filter
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…
Spacetimes as topological spaces, and the need to take methods of general topology more seriously
Kyriakos Papadopoulos, Fabio Scardigli
Why is the manifold topology in a spacetime taken for granted? Why do we prefer to use Riemann open balls as basic-open sets, while there also exists a Lorentz metric? Which topolo…
On the Orderability Problem and the Interval Topology
Kyriakos Papadopoulos
The class of LOTS (linearly ordered topological spaces, i.e. spaces equipped with a topology generated by a linear order) contains many important spaces, like the set of real numbe…
Robots That Do Not Avoid Obstacles
Kyriakos Papadopoulos, Apostolos Syropoulos
The motion planning problem is a fundamental problem in robotics, so that every autonomous robot should be able to deal with it. A number of solutions have been proposed and a prob…
Nests, and their Role in the Orderability Problem
Kyriakos Papadopoulos
This chapter is divided into two parts. The first part is a survey of some recent results on nests and the orderability problem. The second part consists of results, partial result…
A study concerning splitting and jointly continuous topologies on
Dimitris Georgiou, Athanasios Megaritis, Kyriakos Papadopoulos +1
Let and be two fixed topological spaces and the set of all continuous maps from into . We construct and study topologies on that we call ${\cal F}_…