Usual textbook treatments only consider relativity of simultaneity for 2 events, i.e. that different observers don't necessarily agree which of two events happens first. In the case of two events it is possible to choose a spatial axis that contains both events, effectively reducing the problem to one spatial dimension.
However, I am interested in the case of 3 or more events: Do there exist cases of three or more events, such that every order of the events can be observed? By that I mean (for the example of 3 events A,B,C): Do there exist examples of events A, B and C such that one observer sees them in the order ABC, another one in the order BCA, another one in the order CAB, another one in the order BAC, another one in the order ACB, and the last one in the order CBA? For one spatial dimension, the answer seems to be no, but for higher dimension I do not have a clue. Does the maximal number of events whose order can be arbitrarily exchanged by choosing a reference frame depend on the spatial dimension?
In case someone knows the answer, I would really appreciate a reference, like a book or a paper.