# Sh:645

• Komjáth, P., & Shelah, S. (2000). Two consistency results on set mappings. J. Symbolic Logic, 65(1), 333–338.
• Abstract:
It is consistent that there is a set mapping from the four-tuples of \omega_n into the finite subsets with no free subsets of size t_n for some natural number t_n. For any n<\omega it is consistent that there is a set mapping from the pairs of \omega_n into the finite subsets with no infinite free sets.
• Version 1998-07-23_10 (8p) published version (7p)
Bib entry
@article{Sh:645,
author = {Komj{\'a}th, P{\'e}ter and Shelah, Saharon},
title = {{Two consistency results on set mappings}},
journal = {J. Symbolic Logic},
fjournal = {The Journal of Symbolic Logic},
volume = {65},
number = {1},
year = {2000},
pages = {333--338},
issn = {0022-4812},
mrnumber = {1782123},
mrclass = {03E05 (03E35)},
doi = {10.2307/2586540},
note = {\href{https://arxiv.org/abs/math/9807182}{arXiv: math/9807182}},
arxiv_number = {math/9807182}
}