4 papers · 1 filter
Classification problems from the descriptive set theoretical perspective
Luca Motto Ros
Twenty years have passed since Kechris' seminal survey paper [A. S. Kechris, New directions in descriptive set theory. Bull. Symbolic Logic, 5(2):161-174, 1999]. As a follow-up of…
A descriptive Main Gap Theorem
Francesco Mangraviti, Luca Motto Ros
Answering one of the main questions of [FHK14, Chapter 7], we show that there is a tight connection between the depth of a classifiable shallow theory and the Borel rank of the…
Uncountable structures are not classifiable up to bi-embeddability
Filippo Calderoni, Heike Mildenberger, Luca Motto Ros
Answering some of the main questions from [MR13], we show that whenever is a cardinal satisfying , then the embeddability relation between -sized structures…
Polish metric spaces with fixed distance set
Riccardo Camerlo, Alberto Marcone, Luca Motto Ros
We study Polish spaces for which a set of possible distances is fixed in advance. We determine, depending on the properties of , the complexity of the…