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

Abstract

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.

Keywords

• Minkowski space
• causal relations
• interval topology
• Alexandrov topology
• intersection topology