The Erdős–Rado Arrow for Singular Cardinals
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 127-131
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We prove in $\text{ZFC}$ that if $\text{cf}\left( \text{ }\lambda \text{ } \right)>{{\aleph }_{0}}$ and ${{2}^{\text{cf}\left( \text{ }\!\!\lambda\!\!\text{ } \right)}}\,<\,\text{ }\!\!\lambda\!\!\text{ }$ , then $\text{ }\!\!\lambda\!\!\text{ }\,\to \,{{\left( \text{ }\!\!\lambda\!\!\text{ ,}\,\omega \,\text{+}\,\text{1} \right)}^{2}}$ .
Shelah, Saharon. The Erdős–Rado Arrow for Singular Cardinals. Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 127-131. doi: 10.4153/CMB-2009-015-8
@article{10_4153_CMB_2009_015_8,
author = {Shelah, Saharon},
title = {The {Erd\H{o}s{\textendash}Rado} {Arrow} for {Singular} {Cardinals}},
journal = {Canadian mathematical bulletin},
pages = {127--131},
year = {2009},
volume = {52},
number = {1},
doi = {10.4153/CMB-2009-015-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-015-8/}
}
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