  We present a short review of geometric and algebraic approach to causal cones
and describe cone preserving transformations and their relationship with causal
structure related to special and general theory of relativity. We describe Lie
groups, especially matrix Lie groups, homogeneous and symmetric spaces and
causal cones and certain implications of these concepts in special and general
theory of relativity related to causal structure and topology of space-time. We
compare and contrast the results on causal relations with those in the
literature for general space-times and compare these relations with K-causal
maps. We also describe causal orientations and their implications for
space-time topology and discuss some more topologies on space-time which arise
as an application of domain theory.
