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The Ray space of a right process

Ronald K. GetoorMichael J. Sharpe — 1975

Annales de l'institut Fourier

Let X be a process with state space E satisfying (a somewhat relaxed version of) Meyer’s “hypothèses droites”. Then by introducing a new topology (called the Ray topology) on E and a compactification F of E in the Ray topology one can regard X as a Ray process. However, this construction depends on the choice of an arbitrary uniformity on E and not just the topology of E . We show that the Ray topology is independent of the choice of this uniformity. We then introduce a space R (the Ray space) which...

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