Abstract. We prove the existence of pairs of models of the same cardinality λ which are very equivalent according to EF games, but not isomorphic. We continue the paper [4], but w...
Abstract. This research is motivated by the program of Reverse Mathematics and non-standard arguments in second-order arithmetic. Within a weak subsystem of second order arithmetic...
We compute here the Borel complexity of the relation of isometry between separable Banach spaces, using results of Gao, Kechris [1] and Mayer-Wolf [4]. We show that this relation ...
Let R be the preorder of embeddability between countable linear orders colored with elements of Rado’s partial order (a standard example of a wqo which is not a bqo). We show tha...
Assume that there is no quasi-measurable cardinal not greater than 2ω . We show that for a c.c.c. σ-ideal I with a Borel base of subsets of an uncountable Polish space, if A is a...