Arch Math Log 2020 20;59(7):879-892. Epub 2020 Feb 20.
Institute of Mathematics, The Hebrew University of Jerusalem, Edmond Safra Campus Givat Ram, 9190401 Jerusalem, Israel.
We consider a version of -Miller forcing on an uncountable cardinal . We show that under this forcing collapses to and adds a -Cohen real. The same holds under the weaker assumptions that , , and forcing with collapses to . Read More