Affiliation:
1. Department of Pure Mathematics Faculty of Mathematics and Computer Shahid Bahonar University of Kerman Kerman Iran
2. Institute for Research in Fundamental Sciences (IPM) Tehran Iran
Abstract
AbstractStarting from the generalized continuum hypothesis (), we build a cardinal and preserving generic extension of the universe, in which there exists a set of size so that every countably infinite subset of or is Cohen generic over the ground model.
Funder
Austrian Science Fund
Institute for Research in Fundamental Sciences