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