Sheaves of G-structures and generic G-models

preprint2016arXivOpen access

Abstract

In this article we give an equivariant version for the construction of generic models on presheaves of structures. We deal with first order structures endowed with a suitable action of some fixed group, say GG; we call them GG-structures. We show that every exact presheaf of GG-structures M\mathcal{M} has a generic (equivariant) GG-model Mgen\mathcal{M}^{^{gen}}.

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