# Sh:608

• Shelah, S., & Stanley, L. J. (2001). Forcing many positive polarized partition relations between a cardinal and its powerset. J. Symbolic Logic, 66(3), 1359–1370.
• Abstract:
Corrected in [918]. We present a forcing for blowing up 2^\lambda and making “many positive polarized partition relations” (in a sense made precise in (c) of our main theorem) hold in the interval [\lambda,\ 2^\lambda]. This generalizes results of [276], Section 1, and the forcing is a ‘‘many cardinals” version of the forcing there.
• Version 2000-05-30_10 (15p) published version (13p)
Bib entry
@article{Sh:608,
author = {Shelah, Saharon and Stanley, Lee J.},
title = {{Forcing many positive polarized partition relations between a cardinal and its powerset}},
journal = {J. Symbolic Logic},
fjournal = {The Journal of Symbolic Logic},
volume = {66},
number = {3},
year = {2001},
pages = {1359--1370},
issn = {0022-4812},
mrnumber = {1856747},
mrclass = {03E02},
doi = {10.2307/2695112},
note = {\href{https://arxiv.org/abs/math/9710216}{arXiv: math/9710216}},
arxiv_number = {math/9710216}
}