Abstract
We show that the closed ordinal Ramsey number Rcl(ω · 2, 3) is equal to ω3 · 2.
Similar content being viewed by others
References
J. E. Baumgartner, Partition relations for countable topological spaces, Journal of Combinatorial Theory. Series A 43 (1986), 178–195.
A. Caicedo and J. Hilton, Topological Ramsey numbers and countable ordinals, in Foundations of Mathematics, Contemporary Mathematics, Vol. 690, American Mathematical Society, Providence, RI, 2017, pp. 85–118.
P. Erdős and R. Rado, A partition calculus in set theory, Bulletin of the American Mathematical Society 62 (1956), 427–489.
J. Hilton, The topological pigeonhole principle for ordinals, Journal of Symbolic Logic 81 (2016), 662–686.
A. Hajnal and J. A. Larson, Partition relations, on Handbook of Set Theory. Vols. 1, 2, 3, Springer, Dordrecht, 2010, pp. 129–213.
C. Pi˜na, A topological Ramsey classification of countable ordinals, Acta Mathematica Hungarica 147 (2015), 477–509.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mermelstein, O. Calculating the closed ordinal Ramsey number Rcl(ω · 2, 3). Isr. J. Math. 230, 387–407 (2019). https://doi.org/10.1007/s11856-019-1827-0
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11856-019-1827-0