Uhh space is a vaccum therefore it has no 'temperature' as such.
Space itself has no temperature, just things in space which might produce and radiate heat.
the statement "I remember reading somewhere that space doesn't really have a temperature, because there is nothing to transfer the heat to, whatever temperature it is when it starts, it will stay that way because the heat can't be transfered to anything..."
It is a strange one, heat energy does transfer through space or we would all be dead.