An order over the set of analytic functions of two variables

4 Jul 2021, 17:20


Maria Stepanova (Lomonosov Moscow State University)


In the context of the theory of analytical complexity we can introduce a natural relation «to be not simpler» over the set of germs of analytic functions. The question arises: is that relation an order relation (three axioms)? It turns out that the axiom of antisymmetry does not hold. We will give an example. Thus, this relation is only a preorder and turns into an order only after factorization.

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Maria Stepanova (Lomonosov Moscow State University)

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