15 citations · 69 across the 18 of their papers we have counts for
7 papers · 1 filter
Higher amalgamation properties in measured structures
David M. Evans
Using an infinitary version of the Hypergraph Removal Lemma due to Towsner, we prove a model-theoretic higher amalgamation result. In particular, we obtain an independent amalgamat…
Higher amalgamation properties in stable theories
David M. Evans, Jonathan Kirby, Tim Zander
For a complete, stable theory we construct, in a reasonably canonical way, a related stable theory which has higher independent amalgamation properties over the algebraic…
A counterexample to the reconstruction of -categorical structures from their endomorphism monoids
Manuel Bodirsky, David Evans, Michael Kompatscher +1
We present an example of two countable -categorical structures, one of which has a finite relational language, whose endomorphism monoids are isomorphic as abstract monoids, but…
Simplicity of the automorphism groups of some Hrushovski constructions
David M. Evans, Zaniar Ghadernezhad, Katrin Tent
We show that the automorphism groups of certain countable structures obtained using the Hrushovski amalgamation method are simple groups. The structures we consider are the 'uncoll…
Matroid Theory and Hrushovski's Predimension Construction
David M. Evans
We give an exposition of some results from matroid theory which characterise the finite pregeometries arising from Hrushovski's predimension construction. As a corollary, we observ…
The geometry of Hrushovski constructions, I. The uncollapsed case
David M. Evans, Marco S. Ferreira
An intermediate stage in Hrushovski's construction of flat strongly minimal structures in a relational language L produces omega-stable structures of rank omega. We analyze the pre…