25 citations · 70 across the 21 of their papers we have counts for
5 papers · 2 filters
A remark on strict independence relations
Gabriel Conant
We prove that if is a complete theory with weak elimination of imaginaries, then there is an explicit bijection between strict independence relations for and strict indepen…
Extending partial isometries of generalized metric spaces
Gabriel Conant
We consider generalized metric spaces taking distances in an arbitrary ordered commutative monoid, and investigate when a class of finite generalized metric spaces sa…
An axiomatic approach to free amalgamation
Gabriel Conant
We use axioms of abstract ternary relations to define the notion of a free amalgamation theory. These form a subclass of first-order theories, without the strict order property, en…
Neostability in countable homogeneous metric spaces
Gabriel Conant
Given a countable, totally ordered commutative monoid , with least element , there is a countable, universal and ultrahomogeneous metric space $\m…
Distance structures for generalized metric spaces
Gabriel Conant
Let be an algebraic structure, where is a commutative binary operation with identity , and is a translation-invariant total order…