Sh:392

• Jech, T. J., & Shelah, S. (1991). A partition theorem for pairs of finite sets. J. Amer. Math. Soc., 4(4), 647–656.
• Abstract:
Every partition of [[\omega_1]^{<\omega}]^2 into finitely many pieces has a cofinal homogeneous set. Furthermore, it is consistent that every directed partially ordered set satisfies the partition property if and only if it has finite character.
• Version 1993-08-27_10 (10p) published version (10p)
Bib entry
@article{Sh:392,
author = {Jech, Thomas J. and Shelah, Saharon},
title = {{A partition theorem for pairs of finite sets}},
journal = {J. Amer. Math. Soc.},
fjournal = {Journal of the American Mathematical Society},
volume = {4},
number = {4},
year = {1991},
pages = {647--656},
issn = {0894-0347},
mrnumber = {1122043},
mrclass = {03E05 (03E35 04A20 05D10)},
doi = {10.2307/2939283},
note = {\href{https://arxiv.org/abs/math/9201248}{arXiv: math/9201248}},
arxiv_number = {math/9201248}
}