FORCING AND THE HALPERN–LÄUCHLI THEOREM
FORCING AND THE HALPERN–LÄUCHLI THEOREM
Abstract We investigate the effects of various forcings on several forms of the Halpern– Läuchli theorem. For inaccessible κ , we show they are preserved by forcings of size less than κ . Combining this with work of Zhang in [17] yields that the polarized partition relations associated with finite …