ABSTRACT
This chapter gives an idea of the most important features of models considered in the main part of the book. It introduces a certain object which is a combinatorial model of an oriented real line, for which purpose people divide by points the oriented real line into an infinite system of intervals each of which is finite. The chapter introduces in K a multiplication which is an analog of the pointwise multiplication for the O-form and an analog of the exterior multiplication for the 1-form. In terms of the homology theory, this is the so-called Whitney multiplication. Its merit is the consistency with the operation d. At the next stage one shall use it to define the analog of the conjugation operation and the scalar multiplication of forms. The constructions being used may seem to be rather complicated and unnatural, but it is precisely these constructions that make it possible to follow far enough the analogy with continual objects.
