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Preliminaries.- Resolvents.- Ray resolvents and semigroups.- Increasing sequences of supermartingales.- Processes.- Processes continued.- Characterization of previsible stopping times.- Some topology and measure theory.- Right processes.- The ray knight compactification.- Comparison of processes.- Right processes continued: Shih's theorem.- Comparison of (Xt?) and (X t? * ).- U-spaces.- The ray space.