Before revision:  The results are illustrated on several particular models for (\tau, S,\mathbb F) such as the discrete-time and the jump-diffusion settings for (S,\mathbb F), and the case when \tau avoids \mathbb F-stopping times .
After revision:  The results are illustrated on several particular models for (\tau, S,\mathbb F) follows the jump-diffusion settings for (S,\mathbb F), and the case when \tau avoids \mathbb F-stopping times .