The paper accepts the "functional paradigma" in the formative process of the image of an object. The mathematical model is based on the differential calculus on the linear topological locally convex spaces.

The paper attempts to explain the objectivity of globalisation process using the mathematical theory of topological structures. Besides the geometrical distance and geometrical topology, the informational distance and informational topology are defined. Informational distance is a function whose value for a pair of persons / collectivises is equal to the length of the interval of time necessary to useful information that leaving from Q arrives at

The model of the pairs of conjugate systems with anticipation and retardation has two sides which can arouse the interest of researchers. On the one side this model can benefit of mathematical calculus; on the other side, it can be attached to some phenomena from reality, where two systems condition one other with anticipation and retardation. As it is happened many times, the results of mathematical calculus could lead to important conclusions in