Forcing axiom failure for any lambda>aleph_1

Details Forcing axiom failure for any lambda>aleph_1 Forcing axiom failure for any lambda>aleph_1

2001-12-27

arxiv.org/abs/math/0112286v1

Mathematics

Logic

Scientific paper

David Aspero asks on the possibility of having Forcing axiom FA_{aleph_2}(K),
where K is the class of forcing notions preserving stationarity of subsets of
aleph_1 and of aleph_2. We answer negatively, in fact we show the negative
result for any regular lambda>aleph_1 even demanding adding no new sequence of
ordinals of length

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