Sh:895

• Shelah, S. (2010). Large continuum, oracles. Cent. Eur. J. Math., 8(2), 213–234. arXiv: 0707.1818 DOI: 10.2478/s11533-010-0018-3 MR: 2610747
• Abstract:
  Our main theorem is about iterated forcing for making the continuum larger than \aleph_2. We present a generalization of [Sh:669] which is dealing with oracles for random, etc., replacing \aleph_1,\aleph_2 by \lambda,\lambda^+ (starting with \lambda = \lambda^{< \lambda} > \aleph_1). Instead of properness we demand absolute c.c.c. So we get, e.g. the continuum is \lambda^+ but we can get cov(meagre) =\lambda. We also give some applications related to peculiar cuts of [Sh:885].
• Version 2020-05-17 (27p) published version (22p)

@article{Sh:895,
 author = {Shelah, Saharon},
 title = {{Large continuum, oracles}},
 journal = {Cent. Eur. J. Math.},
 fjournal = {Central European Journal of Mathematics},
 volume = {8},
 number = {2},
 year = {2010},
 pages = {213--234},
 issn = {1895-1074},
 mrnumber = {2610747},
 mrclass = {03E35 (03E17 03E40)},
 doi = {10.2478/s11533-010-0018-3},
 note = {\href{https://arxiv.org/abs/0707.1818}{arXiv: 0707.1818}},
 arxiv_number = {0707.1818}
}