In the article titled „Comparison of two-element numbers”, the generalized norm of two-element numbers shows the topology of these numbers.

The topology of two-element numbers is reflected better, if we generally interpret the so-called quadratic infinitesimal environments, i. e. micro-environments, in the following way:

There exists a special number ε₀ such that for all integer n it is true that ε₀ < 1/n and ε₀ is not equal to 0.¹

Then the following three substantially different cases may arise:

1) The ε₀ environments of the numbers are empty (except the given number), i. e. there is no actual existing infinitesimal number. This is the case of complex numbers.

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¹ ε₀ may not be a real number, because of it is smaller than all real fraction number, but it is not equal to 0.

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