Journal title
arXiv
Last updated
2024-04-10T22:37:45.71+01:00
Abstract
Let $T$ be a first-order theory. A correspondence is established between internal covers of models of $T$ and definable groupoids within $T$. We also consider amalgamations of independent diagrams of algebraically closed substructures, and find strong relation between: covers, uniqueness for 3-amalgamation, existence of 4-amalgamation, imaginaries of $T^\si$, and definable groupoids. As a corollary, we describe the imaginary elements of families of finite-dimensional vector spaces over pseudo-finite fields.
Symplectic ID
648762
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Publication type
Journal Article
Publication date
02 Mar 2011