On Evolutionary Systems

Abstract

Considered are controllable systems of (structured) objects s ∈ S, S a non-empty set, to which time instants (time “points”) $t \in \it T$ of a partial ordered time (T, <) are assigned. Treated are topological concepts, a theory of controllable variables, ordering relations on pow (T,<) induced by <, discrete and continuous processes (s _t )$_{t\in{\it U}\subseteq{\it T}}$, relations of processes, a general theory of algorithms, neighborhoods of processes, process approximations, and controllable evolutionary processes. Care has been taken of causality and time dependencies of physical processes.