eyes as a full set of most diverse cause-and-effect connections among events.

Today we interpreted the world of events as a [*set*]{}. That means that the mathematical modelling of the physical space-time was based on [*theory of sets*]{}. This theory has been in the 20th century not only the language used by the mathematicians to formulate and realize their ideas, but also in essence their ideology. This ideology dictates to us the necessity of using of the Cantor’s theory of sets for the construction of mathematical causal theory of space-time (see, for example, [@R; @A; @Gu; @PK; @Pi; @Pim; @Bu].

Evidently Nature is not forced to be confined in the sets-theoretic ideological frames of mathematical abstractions. A transition [*beyond*]{} the frames of theory of sets brings new possibilities for describing the real space-time properties [@GT]. An event was so far treated as an indivisible phenomenon. This is, however, an evident simplification. Time loops, appearing in general relativity, clearly demonstrate the deficiency of such an approach. A theory should admit the possibility of automatically complicating the elementary (atomic) event structure depending on situation. The structure of (causal) interaction of events should herewith accordingly complicate, as well as the space-time topological and 