74 citations · 433 across the 68 of their papers we have counts for
33 papers · 1 filter
Applications of the Gelfand--Naimark duality
Ilijas Farah
Stone duality is an indispensable tool for the study of compact, zero-dimensional, Hausdorff spaces. In the case of general compact Hausdorff spaces one can get quite a bit of mile…
Probably isomorphic structures
Ilijas Farah, Andrea Vaccaro
Two structures in the same language are called probably isomorphic if they (or, in case of metric structures, their completions) are isomorphic after forcing with the Lebesg…
Conjugating trivial automorphisms of
Will Brian, Ilijas Farah
A trivial automorphism of the Boolean algebra is an automorphism induced by the action of some function . In…
Saturation of reduced products
Ben De Bondt, Ilijas Farah, Alessandro Vignati
We study reduced products of countable structures in a countable language associated with the Fréchet ideal. We prove that such is -s…
Chain Conditions and the Axiom of Choice
Ilijas Farah, Jeffrey Marshall-Milne
Within the framework of Zermelo-Fraenkel set theory without the Axiom of Choice, we establish equivalents to the assertion "the union of a countable collection of finite sets is co…
Trivial Isomorphisms between Reduced Products
Ben De Bondt, Ilijas Farah, Alessandro Vignati
We introduce a general method for showing under weak forcing axioms that reduced products of countable models of a theory have as few automorphisms as possible. We show that su…