# 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)

Bib entry

@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} }