The Strong Markov Property of A Denumerable Markov Process

Abstract:

      If a Markov chain (M.C. ) with continuous parameter is eseparable. Borel measurable, right lower semi-continuous and right standard, it is called a right regular one. This paper shows that every right standard M.C. (needn't be homogenerous) has a right regnlar version and that every right regular M. C. posesses strong Markov property by means of its post-process.