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Our conception of a generalized ergodic theory shall exceed the generality ofgeneral topology: In this first part of the generalized ergodic theory weinvestigate the logical constitution of the conception of attractors. Weprepare a general theory of sensitivity of flows, which we intend to present inthe second part of the generalized ergodic theory. As a result of this firstpart take the theorem 3.3 and the theorem 3.8: We show a very general ergodictheorem, however it concerns insensitve flows only.

Konzepte der abstrakten Ergodentheorie. Erster Teil: Abstraktion und Analyse des Attraktorbegriffes