A strong Markov property for set-indexed processes
We introduce adapted sets and optional sets and we study a type of strong Markov property for set-indexed processes that can be associated with the sharp Markov property defined by Ivanoff and Merzbach (Proceedings of the International Conference on Stochastic Models, June 1998, Carleton University, Can. Math. Soc. Conf. Proc. 26 (2000) 217).