5 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…
Corona Rigidity
Ilijas Farah, Saeed Ghasemi, Andrea Vaccaro +1
We give a unified overview of the study of the effects of additional set theoretic axioms on quotient structures. Our focus is on rigidity, measured in terms of existence (or rathe…
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…
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…