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Fragments of Martin's Maximum in generic extensions |
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| Authors: | Bernhard Knig Yasuo Yoshinobu |
| Institution: | Bernhard König,Yasuo Yoshinobu |
| Abstract: | We show that large fragments of MM, e. g. the tree property and stationary reflection, are preserved by strongly (ω1 + 1)‐game‐closed forcings. PFA can be destroyed by a strongly (ω1 + 1)‐game‐closed forcing but not by an ω2‐closed. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Martin's maximum generic extension forcing axioms Banach‐Mazur game |