arXiv subjects

Roberto Pinciroli

Publications and source records attributed to Roberto Pinciroli.

2 recordsLinked to original sources

arXiv2005

Countable Borel equivalence relations and quotient Borel spaces

We consider countable Borel equivalence relations on quotient Borel spaces. We prove a generalization of the Feldman-Moore representation theorem, but provide some examples showing that other very simple properties of countable equivalence relations on standard Borel spaces may fail in the context of nonsmooth quotients.

math.LO↗

arXiv2005

On the independence of a generalized statement of Egoroff's theorem from ZFC, after T.Weiss

We consider a generalized version (GES) of the wellknown Severini-Egoroff theorem in real analysis, first shown to be undecidable in ZFC by Tomasz Weiss. This independence is easily derived from suitable hypotheses on some cardinal characteristics of the continuum like b and o, the latter being the least cardinality of a subset of [0,1] having full outer measure.

math.LO↗