participation has been with us since the inception of living in a family. participation developed in the matrix of religion and, two centuries ago, opend up its way in political systems of european countries. it supported the democratic principle of people's determining their own destiny. today, participation is considered a necessity for the total development of not only individuals, but ...

Abstract We introduce some notions of conditional mean dimension for a factor map between two topological dynamical systems and discuss their properties. With the help these notions, we obtain an inequality to estimate extension system. The G -extensions is computed. also exhibit applications in embedding problems.