Coding with ladders a well-ordering of the reals

Details Coding with ladders a well-ordering of the reals Coding with ladders a well-ordering of the reals

2001-04-19

arxiv.org/abs/math/0104195v1

Mathematics

Logic

Scientific paper

Any model of ZFC + GCH has a generic extension (made with a poset of size aleph_2) in which the following hold: MA + 2^{aleph_0}= aleph_2+ there exists a Delta^2_1-well ordering of the reals. The proof consists in iterating posets designed to change at will the guessing properties of ladder systems on omega_1. Therefore, the study of such ladders is a main concern of this article.

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