Abstract
We prove parametrized partition theorem on products of finite sets equipped with submeasures, improving the results of Di Prisco, Llopis, and Todorcevic.
References
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Research supported by the United States-Israel Binational Science Foundation (Grant no. 2006108). Publication number 952.
Partially supported by NSF grant DMS 0801114 and Institutional Research Plan No. AV0Z10190503 and grant IAA100190902 of GA AV ČR.
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Shelah, S., Zapletal, J. Ramsey theorems for product of finite sets with submeasures. Combinatorica 31, 225–244 (2011). https://doi.org/10.1007/s00493-011-2677-5
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DOI: https://doi.org/10.1007/s00493-011-2677-5