The space of a complex sociocognitive network, as presented in a previous article, is only a temporal episode of the network, in which spatial and temporal dimensions cannot be dissociated. The temporal dimension of the network thus comprises several interconnected aspects. Indeed, the subjective time of each actor observed and the objective time of the observer of the network require the introduction of a third term, so that they can be studied as temporal phenomena. This third time is the time as such, under which subjective and objective times are subsumed. The subjective time is that of the actors within the network and the objective time is the one of the observer of this network. As the roles of the actor and the observer of the network are interchangeable, this article suggests to associate time as such with the topological form of a Moebius strip. More generally, the time as such takes the form of a structure of foliated space: an infinite number of Moebius strips ordered by a growing hierarchy of connection between the infinite numbers of levels of organization within a network. This article analyses the modifications of this structure for just three levels of organization. Given a certain continuity of subjective and objective times within the network, modifications only concern a given Moebius strip. This is the case for the periods of “normal science” in the Kuhnian analysis of scientific evolution, or more generally in all processes of learning without undergoing major change. However, once this continuity is broken, for example during a scientific revolution, a religious conversion, or any other major rupture of the process of learning, the Moebius strip itself will equally undergo change.