Geodesic
Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado
Shimon Garti1 ; Menachem Magidor2 ; Saharon Shelah2
1Hebrew university of Jerusalem
2Hebrew University of Jerusalem
The electronic journal of combinatorics, Tome 27 (2020) no. 2
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We prove that if $\mu$ is a singular cardinal with countable cofinality and $2^\mu=\mu^+$ then $\binom{\mu^+}{\mu}\nrightarrow\binom{\mu^+\ \aleph_2}{\mu\ \mu}$.
DOI : 10.37236/8849
Classification : 05C15, 05C38, 05C63, 03E02
Mots-clés : strong polarized relation, Erdős-Rado theorem

Shimon Garti  1   ; Menachem Magidor  2   ; Saharon Shelah  2

1 Hebrew university of Jerusalem
2 Hebrew University of Jerusalem 
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     author = {Shimon Garti and Menachem Magidor and Saharon Shelah},
     title = {Infinite monochromatic paths and a theorem of {Erd\H{o}s-Hajnal-Rado}},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {2},
     doi = {10.37236/8849},
     zbl = {1439.05085},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8849/}
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Shimon Garti; Menachem Magidor; Saharon Shelah. Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. The electronic journal of combinatorics, Tome 27 (2020) no. 2. doi: 10.37236/8849

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