Bounded morphisms

Frank Olaf Wagner

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arXiv · 1506.04162

Bounded morphisms

Frank Olaf Wagner

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Abstract

A bounded automorphism of a field or a group with trivial approximate centre is definable. In an expansion of a field by a Pfaffian family F of additive endomorphisms such that algebraic closure in the expansion coincides with relative field-algebraic closure of the F-substructure generated, a bounded endomorphism, possibly composed with a power of the Frobenius, is a composition of endomorphisms associated with F.

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Frank Olaf Wagner. 2015-06-12. Bounded morphisms. https://arxiv.org/abs/1506.04162

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