4 papers
Continuous Selection of Unitaries in II Factors
Ilijas Farah, Andrea Vaccaro
We prove continuous-valued analogues of the basic fact that Murray-von Neumann subequivalence of projections in II factors is completely determined by tracial evaluations. We m…
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…
Uniform property and the small boundary property
Grigoris Kopsacheilis, Hung-Chang Liao, Aaron Tikuisis +1
We prove that, for a free action of a countably infinite discrete amenable group on a compact metric space, the small boundary property is implied b…
Surfaces and other Peano Continua with no Generic Chains
Gianluca Basso, Alessandro Codenotti, Andrea Vaccaro
The space of chains on a compact connected space encodes all the different ways of continuously growing out of a point until exhausting the space. A chain is \emph{generic} if its…