  In the first part of our generalized ergodic theory we introduced
Cantor-systems, when we managed to prove the generalized ergodic theorem 3.3.
The first component of a Cantor-system is a group of the flow and its second
component is a set of sets covering the phase-space. Now we continue and we
first come across the resistence of the term of metric sensitivity against
further generalization. Finding a way of generalization of sensitivity, we
understand, that generalized chaos can come out of special sources of
sensitivity, which we call ultrasensitive. However there are conditions of
generalized continuosity implying, that chaos arising from ultrasensitive
sources shows some regularity, which is determined by an equivalence-relation.
