V. G. Kanovei, V. A. Lyubetsky, “A generic property of the Solovay set <nobr>$\Sigma$</nobr>”, Sibirsk. Mat. Zh., 2017, Volume 58, Number 6,Pages <nobr>1302

This article is cited in 3 papers

A generic property of the Solovay set $\Sigma$

V. G. Kanovei^ab, V. A. Lyubetsky^a

^a Institute for Information Transmission Problems, Moscow, Russia
^b Russian University of Transport, Moscow, Russia

Abstract: We prove that the Solovay set $\Sigma$ is generic over the ground model in the sense of a forcing whose order relation extends the order relation of the given forcing.

Keywords: genericity, Solovay set $\Sigma$.

UDC: 510.223+510.225

MSC: 35R30

Received: 02.11.2016

DOI: 10.17377/smzh.2017.58.610